Ref : 798
Title : On Fuzzy Solutions Of The Nonsquare Fully Fuzzy Linear Equation System With Arbitrary Triangular Fuzzy Numbers
Author(s) :
 Name : Inci Albayrak Address : Department of Mathematical Engineering, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Accepted : 5/17/2016 3:57:00 AM
Abstract :
In this work , Fully Fuzzy Linear Equation System (FFLS) that all parameters and variables are represented by triangular fuzzy numbers is discussed. FFLS has many important applications to branches of science, engineering and other disciplines. The objective of this work is to find the feasible (strong) and approximate solution with a proposed method based on a mixed integer modeling of the nonsquare FFLS by removing all restrictions on the parameters and variables.

Keyword: Nonsquare fully fuzzy linear equation system, Triangular Fuzzy number, Mixed integer programming.

References
[1] Babbar, N., Kumar, A., & Bansal, A. (2013). Solving fully fuzzy linear system with arbitrary triangular fuzzy numbers ({m,\ alpha,\ beta}). Soft Computing,17(4), 691-702.
[2] Ezzati, R. (2011). Solving fuzzy linear systems. Soft computing, 15(1), 193-197.
[3] Friedman, M., Ming, M., & Kandel, A. (1998). Fuzzy linear systems. Fuzzy sets and systems, 96(2), 201-209.
[4] Kumar, A., Babbar, N., & Bansal, A. (2011). A new approach for solving fully fuzzy linear systems. Advances in Fuzzy Systems, 2011, 5.
[5] Moloudzadeh, S., Allahviranloo, T., & Darabi, P. (2013). A new method for solving an arbitrary fully fuzzy linear system. Soft Computing, 17(9), 1725-1731.
[6] Otadi, M., & Mosleh, M. (2012). Solving fully fuzzy matrix equations. Applied Mathematical Modelling, 36(12), 6114-6121.
[7] Otadi, M., & Mosleh, M. (2012). Minimal solution of non-square fuzzy linear systems. Journal of Fuzzy Set Valued Analysis, 2012.

Ref : 796
Title : A comparision of the methods for the Nonlinear Klein-Gordon Equations in de Sitter Spacetime
Author(s) :
 Name : MUHAMMET YAZICI Address : Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, 61080, Turkey

 Name : SULEYMAN SENGUL Address : Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, 61080, Turkey

Accepted : 5/16/2016 6:35:00 AM
Abstract :
In this talk, we consider the inital value problems for the nonlinear Klein-Gordon equation in de Sitter spacetime. We use differential transform method for the solution of the inital value problem. In order to show the accuracy for the results of the solutions we use the variational iteration method with Adomian’s polynomials for the nonlinearity.

Ref : 795
Title : A comparision of the methods for the Nonlinear Klein-Gordon Equations in de Sitter Spacetime
Author(s) :
 Name : MUHAMMET YAZICI Address : Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, 61080, Turkey

Accepted : 5/16/2016 6:36:00 AM
Abstract :
In this article, we are interested in the initial value problem for the nonlinear Klein-Gordon equation in de Sitter spacetime,
\phi_{tt}+nH\phi_{t}-e^{-2Ht}\Delta\phi+m^{2}\phi= |\phi|^{p-1}\phi, \hspace{6mm} (x,t)\in \mathbb{R}^{n}\times[0,\infty),\\
\displaystyle \phi(x,0)=\varphi_{0}(x) , \hspace{5mm} \phi_{t}(x,0)=\varphi_{1}(x), \hspace{6mm} x\in\mathbb{R}^n,
where $p>1,$ $m>0$ is physical mass and $H$ is Hubble constant. We use differential transform method for the solution of the inital value problem. In order to show the accuracy for the results of the solutions we use the variational iteration method with Adomians polynomials for the nonlinearity.

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Y. Do, B. Jang, Nonlinear Klein-Gordon and Schr\"{o}dinger equations by the projected differential transform method, {\em Abstract and Applied Analysis} {\bf 2012} (2012).

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J.H. He, A new approach to nonlinear partial differential equations, {\em Comm. Nonlinear Sci. Numer. Simul.} {\bf 2(4)} (1997), 230--235.

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J.H. He, Variational iteration method -- a kind of non-linear analytical tecnique:some examples, {\em International Journal of Non-Linear Mechanics} {\bf 34} (1999), 699--708.

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A.S.V.R. Kanth, K., Aruna, Differential transform method for solving the linear and nonlinear Klein-Gordon equation, {\em Computer Physics Communications} {\bf 180} (2009), 708--711.

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C. M{\o}ller, \lq\lq The Theory of Relativity", Clarendon Press, Oxford, 1972.

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M. Nakamura, The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime, {\em J. Math. Anal. Appl.} {\bf 410} (2014), 445--454.

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Abdul-Majid Wazwaz, A new algorithm for calculating adomian polynomials for nonlinear operators, {\em Applied Mathematics and Computation} {\bf 111} (2000), 53--69.

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K. Yagdjian, On the global solutions of the Higgs boson equation, {\em Comm. Partial Differential Equations} {\bf 37} (2012), 447--478.

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K. Yagdjian, Global existence of the scalar field in de Sitter spacetime, {\em J. Math. Anal. Appl.} {\bf 396} (2012), 323--344.

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JK. Zhou, \lq\lq Differential transform and its applications for electrical circuits", Huazhong University Press,Wuhan,China,1986.

Ref : 793
Title : Oxygen effect on structural, morphological and vibrational properties of SnO2 thin films
Author(s) :
 Name : OULDARAB Halima Address : Djilali BOUNAAMA University, Khemis Miliana, Algeria

 Name : Haireche Sofiane Address : Fares YAHIA University, Médea, Algeria

 Name : A.BOUEDDIENE Address : Blida 1 University, Blida, Algeria

 Name : OUAGUED Abdellah Address : Hassiba BENBOUALI University Chlef, Algeria

Accepted : 5/15/2016 7:06:00 PM
Abstract :
In the present work, we have prepared SnO2 thin films deposited on clean glass substrates using chemical vapor deposition technique APCVD. Structural, morphological and vibrational characteristics of the SnO2 thin films surface have been determined by means of X-ray diffraction (XRD), Scanning Electron Microscopy (SEM), Atomic Force Microscopy (AFM) for structural and morphological properties, (FTIR- ATR) and Raman spectroscopies for vibrational ones. We note that the pressure of oxygen was found to play an important role in structural and vibrational properties of tin oxide thin films .

Ref : 792
Title : Numerical comparison of relativistic Burgers model on different spacetimes. Propagations of shock and rarefaction waves.
Author(s) :
 Name : Baver Okutmuştur Address : Middle East Technical University (METU)

Accepted : 5/15/2016 7:06:00 PM
Abstract :
Several versions of relativistic Burgers models have recently been derived on different spacetime geometries. In this presentation we consider some basic examples of $1+1$-dimensional spacetime backgrounds in order to analyze the derived Burgers models and their finite volume solutions containing shock and rarefaction waves both theoretically and numerically. We establish a second-order Godunov-type finite volume scheme to the relativistic models (depending on the geometry) for approximation of discontinuous solutions and compare each model of interest by illustrating shock and rarefaction wave propagation.

References:
[1] T. Ceylan, B. Okutmustur, “Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime”, Math. Comput. Appl., 21(2016), 16.

[2] T. Ceylan, P.G. LeFloch, B. Okutmustur, “The relativistic Burgers equation on an FLRW background and its finite volume approximation”, arXiv preprint arXiv:1512.08142v1 (2015).

[3] P.G. LeFloch, H. Makhlof, B. Okutmustur, “Relativistic Burgers equations on a curved spacetime. Derivation and finite volume approximation”, SIAM J. Num. Anal. 2012, 50 (2012). 2136-2158.

[4] B. Okutmustur, T. Ceylan, “Relativistic Burgers equation on a de Sitter background. Derivation of the model and finite volume approximations”, Int. J. Pure Math. 2 (2015), 21–29.

Ref : 790
Title : Numerical solution of second order stochastic differential equation
Author(s) :
 Name : Gulsen ORUCOVA BUYUKOZ Address : Yıldız Technical University, Davutpasa Campus Faculty of Arts & Science, Department of Mathematics.

 Name : Tugcem PARTAL Address : Yildiz Technical University, Department of Mathematical Engineering 34210, Istanbul, Turkey

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/15/2016 7:07:00 PM
Abstract :
Abstract
Stochastic differential equations used in areas such as population dynamics, biology, finance, mechanic. In our study we consider second order stochastic differential equation.We mention about numerical solution method and we apply this numerical method to the second order stochastic differential equation with different discretization.
REFERENCES
[1] Edward Allen. Modeling with Ito stochastic differential equations, volume 22. Springer
[2] Peter E. Kloeden and Eckhard Platen. Numerical solution of stochastic differential equations springer-verlag. New York, 1992.
[3] Joao Nicolau. Econometric Theory, 23, 880-898, 2007.
[4] Bernt Oksandal Stochastic differential equations Springer-Verlag Heidelberg New York 2003.

Ref : 789
Title : Development and Formulation New Solid Bio-Fertilizer Macrocapsules
Author(s) :
 Name : Fatih Erci Address : Department of Biotechnology, Faculty of Science, Necmettin Erbakan University, Konya 42090, Turkey

 Name : Emrah Torlak Address : Department of Molecular Biology and Genetics, Faculty of Science, Necmettin Erbakan University, Konya 42090, Turkey

 Name : Vildan Erci Address : Department of Soil Science and Plant Nutrition, Faculty of Agriculture, Selcuk University, Konya 42250, Turkey

 Name : Azade Attar Address : Department of Bioengineering, Faculty of Chemical-Metallurgical Engineering, Yildiz Technical University, Esenler, Istanbul 34210, Turkey

 Name : İbrahim Işıldak Address : Department of Bioengineering, Faculty of Chemical-Metallurgical Engineering, Yildiz Technical University, Esenler, Istanbul 34210, Turkey

Accepted : 5/15/2016 7:07:00 PM
Abstract :
In agricultural activities, fertilization increases efficiency and obtains better quality of product recovery. Nowadays, chemical fertilizer can be found as a liquid, a powder or in the form of a solid such as a tablet or pellets. Excessive use of chemical fertilizers in agriculture, resulting in a large number of environmental problems because some fertilizers contain heavy metals and high concentrations of radionuclides. Bio-fertilizer formulations have been developed by biotechnological methods to reduce excessive use of agricultural land in the face of increasing population and negative developments caused by incorrect agricultural activities. The main goal of this study is to develop a bio-fertilizer macrocapsule in solid form which is consisted of lyophilized bacteria mixture, mycorrhizal fungi and nutrient elements. This new form of bio-fertilizer is suitable for use in both open-field agriculture and greenhouse farming activities especially for hydroponic greenhouses and flower pots. The bio-fertilizer macrocapsule was produced by drying processes and quick encapsulation that was made of alginate, and contained over %25 nutrients and 107 colony forming units (CFU) of microorganisms. Bio-fertilizer macrocapsules containing different combinations of microorganisms were applied to tomato plants grown in potting soil for 15 days by evaluating plant weight, stem size and root development. In this study, the bio-fertilizer in solid form has been formulated to reduce the production cost, favor its storage and its application in the field. Also, the results of this study indicate that this new form of solid bio-fertilizer macrocapsules is far better than the liquid and powdered forms.
Keywords: Agriculture, Bio-Fertilizer, Microorganisms, Nutrients, Alginate

Ref : 788
Title : Analysis of Biofilm Production and Presence of icaA and icaD Genes in Staphylococcus aureus Strains Isolated from Milk Products
Author(s) :
 Name : Burcu Eskici Address : Department of Molecular Biology and Genetics, Faculty of Science, Necmettin Erbakan University, Konya 42090, Turkey

 Name : Emrah Torlak Address : Department of Molecular Biology and Genetics, Faculty of Science, Necmettin Erbakan University, Konya 42090, Turkey

 Name : Fatih Erci Address : Department of Biotechnology, Faculty of Science, Necmettin Erbakan University, Konya 42090, Turkey

Accepted : 5/15/2016 7:07:00 PM
Abstract :
An ordered assembly of bacterial cells enclosed by a matrix of extracellular polymeric substance (EPS) is defined as bacterial biofilms that are notoriously difficult to eradicate and are responsible for many recalcitrant infections. Staphylococcus aureus is one of health-threatening pathogens with capable of developing bioﬁlms, causing major problems in the food sector. The aim of this study was to investigate biofilm-forming capacity and the presence of both the intercellular adhesion genes (icaA and icaD) genes among strains of S. aureus isolated from milk products. A total of 44 isolates of S. aureus were subjected to phenotypic and genotypic assays to evaluate the biofilm-forming ability. Phenotypic biofilm production was evaluated by phenotypic expression of colonies in Congo Red Agar (CRA) and quantified using a Crystal violet (CV) staining assay. The presence of icaA and icaD genes in isolates were detected by Polymerase Chain Reaction (PCR). According to the analysis of phenotypic expression in CRA, showed that 52.2% of the S. aureus isolates produced biofilm, while 90.9 % isolates revealed this phenotype with CV assay based on spectrophometric measurement. Majority (97.7%) of the isolates were found to carry icaA gene. It was also shown that the icaA and icaD genes were detected in 42 of 44 (95.4%) strains of S. aureus. The results of this study indicate that a combination of phenotypic and genotypic assays is recommended for examining biofilm formation in S. aureus.
K e y w o r d s: Staphylococcus aureus, biofilm, PCR, genes: icaA, icaD

Ref : 787
Title : Polycyclic Codes Over The Ring F2 + uF2
Author(s) :
 Name : Mehmet ÖZEN Address : Sakarya Üniversitesi Fen Edebiyat Fakültesi, Matematik Bölümü 54187 SERDİVAN / SAKARYA

Accepted : 5/15/2016 11:32:00 AM
Abstract :
In this work, we investigate the structure of polycyclic codes from a
linear algebraic point of view over the ring F2 +uF2 where u2 = 0. Using
the theoretical results we derive, we obtain some good code parameters
over the eld F2 which are presented at the end of the paper.

Ref : 786
Title : One Generator Quasi Cyclic Codes over Fq + vFq
Author(s) :
 Name : N.Tuğba Özzaim Address : Sakarya University

 Name : Mehmet Özen Address : Sakarya University

Accepted : 5/15/2016 8:47:00 AM
Abstract :
In this work, the algebraic structure of quasi-cyclic codes over the ring R = Fq + vFq is investigated. We characterize the type of one-generator quasi-cyclic
codes over Fq + vFq and minimal spanning sets of such codes. Moreover the rank and a lower bound for minimum distances of free quasi-cyclic codes over Fq +vFq is given.

Ref : 785
Title : A Boundary Value Problem with Retarded Argument and Spectral Parameter in one Boundary Conditions
Author(s) :
 Name : Khanlar R. Mamedov Address : Mersin University, Department of Mathematics, 33343, Mersin, TURKEY.

 Name : F. Ayca CETINKAYA Address : Mersin University, Department of Mathematics, 33343, Mersin, TURKEY.

Accepted : 5/15/2016 7:00:00 AM
Abstract :
We investigated a boundary value problem, on a finite interval, which is generated by a differential equation with a retarded argument and spectral parameter in one of its boundary conditions. We obtained the asymptotic formulas for the eigenvalues and eigenfuntions.

Keywords. differential equation with retarded argument, asymptotics of eigenvalues and eigenfunctions.

References.

[1] R. Bellman, K.L. Cook, Differential-Difference Equations, New York Academic Press, London, 1963.

[2] G.V. Demidenko, V.A. Likhoshvai, “On differential equations with retarded argument”, Sibirsk. Mat. Zh. 46 (3) (2005) 417–430.
[3] S.B. Norkin, Differential Equations of the Second Order with Retarded Argument, in: Translations of Mathematical Monographs, vol. 31, AMS, Providence, RI, 1972.

Ref : 784
Title : Bayesian modeling of the recruitment of patients during a clinical trial
Author(s) :
 Name : MANSOURI Ramdane Address : Department of mathematics,Souk Ahras University;Algeria

Accepted : 5/15/2016 5:03:00 AM
Abstract :
We deal with the enrolment of patients in multi-centre clinical trial.The goal is to recruit Nf patients in a time Tc ;C centres are open. Doing an on-going study at time T*, one wishes to predit the recruitment Time.

To this end,it is classical to model the recruitment processes of the centres by C independent Poisson processes,with respective rates . Following Anisimov (2008),we present a bayesian approach where the rates are seen as i.i.d.r.v of Gamma distibution with parameters α and β .

At some time interim time T*, the parameters are estimated via the maximum likelhood technique,then used to predict the recruitment time.We give the distributions of both the number of enrolled patients at some time t ≥ T* ,and of the time T* needed to recruit Nf patients.We also give a method for adaptative adjustment of the recruitment process.

An asymptotic confidence region is given for the estimated parameters (α*, β*), and the impact on the predictions of the error made on parameters.
Finally,an extension of this model is proposed when the opening dates of entres are unknown ;they are then supposed uniformly distributed in some interval depending on the first inclusion time of each centre.The model is tested on real data.

Keywords : Clinical trials,Recruitment time,Bayesian statistics,Poisson process,Maximum Likelihood Estimation,Sensitivity analysis.

Ref : 783
Title : A numerical approach to Hunter-Saxton equation
Author(s) :
 Name : Nuri Murat Yagmurlu Address : Department of Mathematics, Faculty of Arts and Sciences, Inonu University, 44280 Malatya, TURKEY

 Name : Yusuf Uçar Address : Department of Mathematics, Faculty of Arts and Sciences, Inonu University, 44280 Malatya, TURKEY

 Name : Alaattin Esen Address : Department of Mathematics, Faculty of Arts and Sciences, Inonu University, 44280 Malatya, TURKEY

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this paper, Hunter-Saxton equation is solved by using quintic B-spline collocation method. Then, numerical schemes which is obtained the aid of Galerkin method is solved with fourth order Runge-Kutta method. The error norms L2 and L_{\infinity} have been used to test how compatible obtained numerical solutions with those of exact ones.

Ref : 782
Title : Stability Analyses of Nonlinear Fuzzy Dynamic Systems of Unperturbed Systems with Initial Time Difference
Author(s) :
 Name : Mustafa Bayram Gücen Address : Yildiz Technical University, Department of Math, Faculty of Arts & Science, 34210, Istanbul, Turkey

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this paper, We have investigated that initial time difference stability criteria of fuzzy differential equations for unperturbed fuzzy differential systems. We have established a comparison result for unperturbed fuzzy differential equations with respect to unperturbed fuzzy differential equation which have different initial position and initial time.

Ref : 781
Title : Integral Representations of Multiplications of Bernstein Polynomials and Their Relations with Special Functions in the (p,q)-Calculus
Author(s) :
 Name : Erkan AĞYÜZ Address : Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkey

Accepted : 5/14/2016 5:02:00 PM
Abstract :
The aims of this work, seriatim, are to present some results of multiplications of Bernstein polynomials and to obtain relations of those polynomials with related to special functions such as Gamma and Beta functions in (p,q)-calculus.

Ref : 780
Title : DWT Based-Approach for Color Image Compression Using Bat Algorithm
Author(s) :
 Name : Messaoudi AbdelHamid Address : MSE Laboratory, University of Biskra, BP 145, 07000, Biskra, Algeria.

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this paper, a new Discrete Wavelet Transform (DWT) color image compression technique using Bat Algorithm (BA) is proposed. For a color image, the correlation between the RGB planes is important. Reducing this correlation yields to an improvement in the compression process. In this work, the BA is used to decrease this correlation by transforming the RGB planes to a modified YCbCr planes by maximizing the Y component. The transformed image is then decomposed with DWT and coded by the Two-role encoder (TRE). When compared to other known methods, the obtained results show that the proposed approch achieves high performance.

Ref : 779
Title : Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative
Author(s) :
 Name : Süleyman Öğrekçi Address : Amasya University, Science&Arts Faculty, Amasya, Turkey.

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this study, we propose an analytic method for solving nonlinear differential equations of fractional order equipped with modified Riemann-Liouville derivative. A new technique for calculating the generalized Taylor series coefficients (also known as “generalized differential transforms,” GDTs) of nonlinear functions and a new approach of the generalized Taylor series method (GTSM) are presented. This new method offers a simple algorithm for computing GDTs of nonlinear functions and avoids massive computational work that usually arises in the standard method. Several illustrative examples are demonstrated to show effectiveness of the proposed method.

Ref : 778
Title : On a Necessary Condition for Optimal Control of Parabolic Equation
Author(s) :
 Name : Mustafa Ali Dokuyucu Address : Department of Mathematics, Ağrı İbrahim Çeçen University,Faculty of Science and Art, Ağrı

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this work, the optimal control problem discussed for a parabolic boundary value problem. The correctness of the problem examined. It was shown to be objective functional differentiable and a necessary condition gave for the solution.

Ref : 777
Title : A note on stability of the solution in an optimal control problem for Quasi- Optics equation
Author(s) :
 Name : Yusuf Koçak Address : Department of Mathematics, Ağrı İbrahim Çeçen University,Faculty of Science and Art, Ağrı

 Name : Ercan Çelik Address : Department of Mathematics, Atatürk University, Faculty of Science, Erzurum, Turkey

Accepted : 5/14/2016 5:02:00 PM
Abstract :
We study an optimal control problem for the Quasi-optics equation. First, we examine the well-posedness of the problem and, second, we do that of the considered optimal control problem. We also study the differentiability of cost functional and obtain a necessary optimality condition.

Ref : 776
Title : Simulation the transport of nonlinearly interacting solutes in fixed bed
Author(s) :
 Name : Kolli Mounira Address : Laboratory of Engineering of Environnement processes, Department of Engineering of Environnement, University of Constantine 3, Algeria

 Name : Benmahdi Fatiha Address : Laboratory of Engineering of Environnement processes, Department of Engineering of Environnement, University of Batna Algeria

 Name : Semra Safia Address : Laboratory of Engineering of Environnement processes, Department of Engineering of Environnement, University of Constantine 3, Algeria

 Name : Bouhelassa Mohamed Address : Laboratory of Engineering of Environnement processes, Department of Engineering of Environnement, University of Constantine 3, Algeria

Accepted : 5/14/2016 5:02:00 PM
Abstract :
This study describes a method for solving the advective–dispersive solute transport in a one dimensional porous medium with equilibrium local and nonlinear sorption. Adsorption is described by the Freundlich isotherm. The solute is continuously injected along a line source with constant rate flow. This method is based on the mixed form method; the resulting linear system is solved using the Newton method. The simulated results were compared with experimental results and found to give a good agreement with error less than 5%. The effect of various influencing parameters such as feed concentration, length of column, the rate flow and the parameters of isotherm were studied to investigate their influences on adsorption capacity.

Ref : 775
Title : On The Bezier Directrix Curves of Two Developable Ruled Surfaces
Author(s) :
 Name : Vahide Bulut Address : Department of Mathematics, Ege University Faculty of Science, Izmir, Turkey

Accepted : 5/14/2016 5:02:00 PM
Abstract :
Developable ruled surfaces are widely used in Computer Aided Geometric Design (CAGD) such as surfaces of marine craft and aircraft skins, garment design and architectural structures since these surfaces can be unfolded (developed) into a plane without stretching or tearing. In this paper, we present obtaining the nearest neighbor Bézier directrix curve of developable ruled surface from the Bézier directrix curve of the other developable ruled surface and the exchange variations of the arc lengths of these Bézier directrix curves. Therefore, the optimum Bézier curve and also by using this curve, the optimum developable ruled surface can be obtained that user wants. Also, we expressed relation between the spherical images of these developable ruled surfaces and the inﬂection curve using SLERP.

Ref : 774
Title : Laplace-$\rho$ Transform of Differential Equations with Uniﬁed Reimann-Liouville and Hadamard Type Fractional Derivatives
Author(s) :
 Name : Tuğba Yalçın Address : Afyon Kocatepe University, ANS Campus, Faculty of Science and Arts, Department of Mathematics, 03200 Afyonkarahisar, Turkey

Accepted : 5/14/2016 5:02:00 PM
Abstract :
In this study, we propose a definition of a fractional Laplace-$\rho$ transform and show the main properties of this transform. We provide the solutions of linear fractional order equations are of exponantial order. As a result the Laplace-$\rho$ transform is proved to be valid in fractional equations.

Ref : 773
Title : Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives
Author(s) :
 Name : Tuğba Yalçın Address : Afyon Kocatepe University, ANS Campus, Faculty of Science and Arts, Department of Mathematics, 03200 Afyonkarahisar, Turkey

 Name : Mustafa Kemal Yıldız Address : Afyon Kocatepe University, ANS Campus, Faculty of Science and Arts, Department of Mathematics, 03200 Afyonkarahisar, Turkey

 Name : Umut Mutlu Özkan Address : Afyon Kocatepe University, ANS Campus, Faculty of Science and Arts, Department of Mathematics, 03200 Afyonkarahisar, Turkey

Accepted : 5/14/2016 5:03:00 PM
Abstract :
In this study, we extend the deﬁnition of the fractional derivative introduced by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1]. We prove some interesting properties of the fractional integrals and derivatives. Based on these properties, the following concepts for the new type fractional diﬀerential equations are explored: Existence and uniqueness of solutions; Solutions of autonomous fractional diﬀerential equations; Dependence on the initial conditions; Green’s function; Variation of parameters formula.

Ref : 772
Title : A novel numerical method for solving the variable-order fractional differential equations
Author(s) :
 Name : Süleyman Mesut Yılmaz Address : Turkish Air Force Academy,Aeronautics and Space Technologies Institute,Istanbul,Turkey

 Name : Birol İbiş Address : Turkish Air Force Academy, Department of Basic Sciences,Istanbul,Turkey

 Name : Aydin Secer Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

Accepted : 5/13/2016 2:41:00 AM
Abstract :
In this paper, a novel numerical method is proposed to solve a class of variable-order fractional differential equations. This method is based on the first kind of Bessel functions collocation method. The first kind of Bessel function is an infinite series, which is convergent for any x∈R. The main characteristic behind the method using this technique is that it reduces fractional-order differential eqautions to those of solving a system of algebraic equations thus greatly simplifying the problem. Illustrative examples are included to demonstrate the validity and applicability of the proposed technique.

Ref : 771
Title : A novel numerical method for solving the variable-order fractional differential equations
Author(s) :
 Name : Süleyman Mesut Yılmaz Address : Turkish Air Force Academy,Aeronautics and Space Technologies Institute,Istanbul,Turkey

Accepted : 5/13/2016 2:41:00 AM
Abstract :
In this paper, a novel numerical method is proposed to solve a class of variable-order fractional differential equations. This method is based on the first kind of Bessel functions collocation method. The first kind of Bessel function is an infinite series, which is convergent for any x∈R. The main characteristic behind the method using this technique is that it reduces fractional-order differential eqautions to those of solving a system of algebraic equations thus greatly simplifying the problem. Illustrative examples are included to demonstrate the validity and applicability of the proposed technique.

Ref : 770
Title : Phenomena of transport electrokinetic of the sulphates in a dairy sludge
Author(s) :
 Name : Mansouri Belgacem Address : Laboratory of water treatment and recycling of industrial waste, Faculty of Science, Department of Chemistry, BP12, Annaba University, Annaba 23000 (Algeria).

 Name : Hazourli Sabir Address : Laboratory of water treatment and recycling of industrial waste, Faculty of Science, Department of Chemistry, BP12, Annaba University, Annaba 23000 (Algeria).

Accepted : 5/12/2016 4:12:00 PM
Abstract :
The electrokinetic decontamination of sludge and soil is an innovating and effective technique which allows the extraction of metals and/or toxic organic compounds of the polluted soil or sludge [1, 2]. Its interest is that it uses a weak electrical current which circulates between two unattackable electrodes. Various physical phenomena can be generated by these systems électrodes/soil or sludge, we can note the electrosmosis, the electrophorèse, the electromigration and the chemical phenomena related to the electrochemical reactions meadows of the electrodes such as the electrolysis of water [3, 4]. The objective of this study is directed towards the justification of the phenomena governing the application of this electrokinetic technique for the decontamination of the dairy sludge of its aluminum and sulfates resulting from the clarification of waste water by coagulation-flocculation by aluminum sulfate. The results showed that the electromigration and electrosmosis phenomena were in a majority for obtained decontaminations which are successively about 72 % for aluminum and 90% for sulfates.

Ref : 769
Title : Application of date stones in the adsorption of arsenic (III)
Author(s) :
 Name : Hazourli sabir Address : Laboratory of water treatment and recycling of industrial waste, Faculty of Science, Department of Chemistry, BP12, Annaba University, Annaba 23000 (Algeria).

 Name : Mansouri Belgacem Address : Laboratory of water treatment and recycling of industrial waste, Faculty of Science, Department of Chemistry, BP12, Annaba University, Annaba 23000 (Algeria).

Accepted : 5/12/2016 4:12:00 PM
Abstract :
The objective of this study is the valorization of a lignocellulosic natural residue "date stones" to an activated carbon and its application in the adsorption of the arsenic (III) contained in water. The chronological stages of obtaining coal were: cleaning, drying, crushing and the carbonization at 600°C of the natural residue and finally its thermically pretreatment at 900°C. The characterization of the carbonaceous matter showed properties comparable with those of much of industrially produced coals [1, 2]. The tests of retention of arsenic III on obtained material, gave a capacity of adsorption of about 25 mg/g at 20°C during a contact time of 24 hours. This result is similar to that found in the literature but for others biosorbants [3, 4]. The coal carbonized at 600°C, hardly reaches the capacity of 2 mg/g. The study of the influence of the pH and the temperature of the medium showed that with pH near neutrality and an ambient temperature at 20°C, the optimal adsorption of arsenic III is reached in agreement with Langmuir and Freundlich models.

Ref : 768
Title : Fractional sub-equation method for the fractional convection–diffusion equation
Author(s) :
 Name : Birol ibiş Address : Turkish Air Force Academy, Department of Basic Sciences,Istanbul,Turkey

Accepted : 5/12/2016 4:12:00 PM
Abstract :
The fractional order partial differential equations used in science and engineering as mathematical models. One of the mathematical models is the fractional convection–diffusion equation. It is a generalization of the classical convection-diffusion, which describes physical phenomena where particles, energy, or other physical quantities are transferred inside a physical system due to two processes: diffusion and convection, by replacing the integer order time-space derivative with a fractional order time-space derivative.

In this paper, we will apply the fractional sub-equation method for finding exact solutions of the fractional convection–diffusion equations. By a proposed variable transformation, certain fractional partial differential equations are turned into fractional ordinary differential equations, whose solution can be expressed in certain forms composed of the solutions of the fractional Riccati equation. We apply this method to several examples for showing the accuracy and convenience of the method.

Ref : 767
Title : ADSORPTION STUDY OF HERBICIDE, METRIBUZIN THE CLAY ON "THE Maghnia MAGHNITE" GROSS AND PROCESSED IN AQUEOUS ENVIRONMENT
Author(s) :
 Name : REGUIG BENDOUKHA ABDELKARIM Address : UNIVERSITE MUSTAPHA STAMBOULI MASCARA 29000

 Name : Bettayeb Amel Address : UNIVERSITE MUSTAPHA STAMBOULI MASCARA 29000

Accepted : 5/12/2016 4:12:00 PM
Abstract :
Keywords: Adsorption isotherms . Metribuzin . Activated montmorillonite . Kinetics . Thermodynamic data

Ref : 766
Title : Synthesis of conducting polymers and soluble application in organic photovoltaic cells
Author(s) :
 Name : REGUIG BENDOUKHA ABDELKARIM Address : UNIVERSITE MUSTAPHA STAMBOULI MASCARA 29000

 Name : remil abderahman Address : UNIVERSITE MUSTAPHA STAMBOULI MASCARA 29000

 Name : YAHIAOUI AHMED Address : UNIVERSITE MUSTAPHA STAMBOULI MASCARA 29000

Accepted : 5/12/2016 4:12:00 PM
Abstract :
In this work we have shown that the new polymerization process catalyzed by Mag-H+ can be applied to the polymerization of the pyrrole derivatives with nitrobenzealdehyde. Was synthesized poly (2,5-diyl 2,4-dinitrobenzylidène pyrrole), poly (2,5-pyrrole -4-nitrobenzénaldéhyde) and poly (2,5-pyrrole-3-nitrobenzènaldhyde) with Mag-H+ . The polymerization is done in solution, heterogeneous catalyst. The return on the amount of Maghnite-H+ 10% compared to the mass [Pyrrole] / [Benzaldehyde] = 50/50 is present a good yield. The data of different analytical methods used in this study: UV-visible and IR allowed to prove the characteristic bands of the synthesized polymers. The synthesized polymers were deposited on glass substrates and characterized by electron microscopy Atomic Force Microscopy (AFM), scanning electron microscopy (SEM) and optical measurements (transmission, absorption). The optical measurements of PPDNB show that it is a semiconductor. The PPDNB, PPNB (4), PPNB (3) obtained are soluble in the organic solvent, chloroform, toluene, NMP, acetonitrile, acetone and insoluble in water and methanol.
Key words: Conducting Polymer, Organic Solar Cells, Spin-Coating, Mag-H+.

Ref : 765
Title : Chaotic function to boxes mail design
Author(s) :

Accepted : 5/12/2016 5:34:00 AM
Abstract :
The wide usages of email demands a good mathematical model of email design. In this paper a mathematical technique is introduced for modelling email using chaotic function. For its complexity and its predictor difficulty, a chaotic logistic function is used. Procedures for registration, opening, and trans email are presented.

Ref : 764
Title : Assessment of Soil Pollution by Toxic Metals and Petrochemical Compounds Wastes at West Libya
Author(s) :
 Name : Adel A S Banana Address : Environment Engineering Department, Subrata College, University of Zawia, Libya

 Name : Adel Al-Gheethi Address : Faculty of Civil and Environmental Engineering, University Tun Hussein Onn Malaysia (UTHM), Johor, Malaysia

 Name : Efaq AN Address : School of Industrial Technology, Universiti Sains Malaysia (USM), Penang, Malaysia

Accepted : 5/12/2016 5:33:00 AM
Abstract :
The current study aimed to assessment of soil contamination by titanium (Ti), Beryllium (Be), tungsten (W), phosphorus (P) and vanadium (V) as well as others heavy metals in the soil at Abu-Kammash in Libya, which received the petrochemical wastewater generated from General Company of Chemical Industries (GCCI). The presence of hazardous materials were determined using inductively coupled plasma (ICP-Mass) Spectrometry and Gas chromatography–mass spectrometry (GC-MS). The results revealed that the soil samples from 100 m of west and east Abu-Kammash was polluted with Ti (39 vs. 175 μg kg-1), Be (219 vs. 421 μg kg-1), W (0.015 vs. 0.041 μg kg-1), V (18.5 vs. 21.3 μg kg-1). Concentrations of heavy metals ranged from 18.5 μg kg-1 of vanadium (V) to 1120 μg kg-1 of zinc (Zn). Among petrochemical compounds investigated, tentriacontane (C31H64), 3-méthyl-2oxopropylfuran (C8H10O2) and tertrapentacontane (C54H108Br2) was the most detected in the soil samples. The presence of these toxic elements in the environment represent high adverse effects on human health via food chain.

Key words: toxic elements, soil, Petrochemical Compounds, Abu-Kammash, GC-MS, ICP-Mass

Ref : 763
Title : Modelling of phenol adsorption onto GAC using column experiment methodology
Author(s) :
 Name : Fatiha BENMAHDI Address : Laboratory of Innovation in Environmental Processes, Faculty of Pharmaceutical chemistry, University of Constantine 3, 25000, Algeria.

 Name : Monira KOLI Address : Laboratory of Innovation in Environmental Processes, Faculty of Pharmaceutical chemistry, University of Constantine 3, 25000, Algeria.

 Name : Safia SEMRA Address : Laboratory of Innovation in Environmental Processes, Faculty of Pharmaceutical chemistry, University of Constantine 3, 25000, Algeria.

Accepted : 5/12/2016 5:33:00 AM
Abstract :
ABSTRACT
This paper aims at investigating the adsorption dynamic of phenol onto granular activated carbon (GAC) in the fixed-bed column experiments. The effects of inlet phenol concentration, feed flow rate and bed height, and particle size on the breakthrough characteristics of the adsorption system were investigated. The column data were fitted by Thomas, Bohart-Adams, Clark and Yoon–Nelson models. The models were applied to predict the breakthrough curves and to determine the characteristic parameters. The Yoon–Nelson model was best to fit the breakthrough curves at experimental conditions.
Keywords: modelling, phenol, fixed-bed column, breakthrough curve.

Ref : 762
Title : On the Estimating Parameters of Arbitrary Planes in Systematic Sampling
Author(s) :
 Name : Mehmet Niyazi ÇANKAYA Address : Uşak University, Faculty of Art and Science, Department of Statistics, Uşak, Turkey

Accepted : 5/12/2016 5:32:00 AM
Abstract :
In spatial data, the observations on dimensions are dependent. The references are given by Cruz-Orive (1989). In this study, the regression setting of arbitrary planes is proposed. A random variable as a noise is added to this regression model. The parameters in the regression model are estimated by means of the maximum likelihood estimation (MLE) method. Since we use the MLE method, the confidence interval for the estimates of parameters can be proposed by using the statistical asymptotic theory. This will be an advantage for us to mention the confidence band of the arbitrary objects even if we do not know exactly what the distribution of noise is, however if the precision of estimates for the parameters is important, it will be necessary to know the distribution of noise exactly. For the proposed regression setting, the explanatory variables in regression model are also random due to fact that they are obtained by using the systematic sampling principle. Since the columns of a matrix for the explanatory variables are dependent, this dependence leads to singularity problem while estimating the regression parameters. To overcome this problem, a vast version of Moore-Penrose Inverse Matrices is used. The mean squared errors for each parameters in regression model of arbitrary planes are computed via a simulation performed. As an application, the regression setting for the arbitrary planes can be used in the biomedical imaging. This approach can be useful to construct the shape of arbitrary planes after the biological objects are scanned by the invasive and noninvasive imaging techniques.

Keywords:Estimation Method, Regression, Systematic Sampling

Ref : 761
Title : Normed Quotient Rings
Author(s) :
 Name : Vakkas Uluçay Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

 Name : Memet Şahin Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

 Name : Necati Olgun Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

Accepted : 5/11/2016 10:07:00 AM
Abstract :
In this article, we introduce the notions of normed quotient ring, normed quotient subring, normed quotient ring homomorphism, normed quotient ring natural homomorphism and investigate some of their related properties.

Ref : 760
Title : Normed Z-Modules
Author(s) :
 Name : Vakkas Uluçay Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

 Name : Memet Şahin Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

 Name : Necati Olgun Address : Department of Mathematics, Gaziantep University, Gaziantep27310-Turkey

Accepted : 5/11/2016 10:07:00 AM
Abstract :
In this study, norm is defined on algebraic structures which are not vector spaces. The concept of normed Z-modules is introduced and some basic properties are established. Then the cartesian product of normed Z -modules, Cauchy sequence of normed Z -modules, metric of normed Z -modules, are defined and verified by suitable examples.

Ref : 759
Title : Biochemical assessment of Algerian women with pregnancy- induced hypertension
Author(s) :
 Name : Bourouba Romyla Address : Department of Biology and Animal physiology, Faculty of Nature and life sciences, University of Setif 1, Algeria

Accepted : 5/11/2016 10:08:00 AM
Abstract :
Pregnancy induced hypertension (PIH) is a major pregnancy complication, causing premature delivery, fetal growth retardation, as well as maternal morbidity and mortality . The aim of the present study was to assess some biochemical parameters in pregnant women with PIH. This case-control study was carried out at the mother and child’s maternity Hospital of Sétif , Algeria , on a population of 30 normo-pregnant and 30 pre-ecmalptic women aged between 18 to 44 years. Our results show that the average age is of 29.47 ± 1.42 years for pre-eclamptics women compared to control group (30.03 ± 1.139 years). Hypertension is directly associated with a significant increase of triglycerides (2.794 0.1534 g/l vs 1.932 ± 0.0541 g/l) and total cholesterol levels (2.21 ± 0.0887 g/l vs 1.6 ± 0.0544 g/l) in comparison with that of the normotensive pregnant women. Proteinuria > 0.3g/24h increases at the majority of the cases and the rate of the platelets of the pre-eclamptics pregnant women (277.4 ± 11.84 x103/mm3) is significantly low compared to the controls (226.6 ± 14.85 x103/mm3). However, no significant association no significant association was established in the PE women concerning the body mass index, the rate of the leucocytes, and hemoglobin. In conclusion, the possible relation between some biochemical parameters and PIH may contribute to the development of strategies for treatment and prevention and of this disorder.

Ref : 758
Title : Biochemical assessment of Algerian women with pregnancy- induced hypertension
Author(s) :
 Name : Bourouba Romyla Address : cite Maabouda, setif, Algerie

Accepted : 5/11/2016 10:08:00 AM
Abstract :
Pregnancy induced hypertension (PIH) is a major pregnancy complication, causing premature delivery, fetal growth retardation, as well as maternal morbidity and mortality . The aim of the present study was to assess some biochemical parameters in pregnant women with PIH. This case-control study was carried out at the mother and child’s maternity Hospital of Sétif , Algeria , on a population of 30 normo-pregnant and 30 pre-ecmalptic women aged between 18 to 44 years. Our results show that the average age is of 29.47 ± 1.42 years for pre-eclamptics women compared to control group (30.03 ± 1.139 years). Hypertension is directly associated with a significant increase of triglycerides (2.794 0.1534 g/l vs 1.932 ± 0.0541 g/l) and total cholesterol levels (2.21 ± 0.0887 g/l vs 1.6 ± 0.0544 g/l) in comparison with that of the normotensive pregnant women. Proteinuria > 0.3g/24h increases at the majority of the cases and the rate of the platelets of the pre-eclamptics pregnant women (277.4 ± 11.84 x103/mm3) is significantly low compared to the controls (226.6 ± 14.85 x103/mm3). However, no significant association no significant association was established in the PE women concerning the body mass index, the rate of the leucocytes, and hemoglobin. In conclusion, the possible relation between some biochemical parameters and PIH may contribute to the development of strategies for treatment and prevention and of this disorder.

Ref : 757
Title : Quantum image encryption based on Scrambling- Diffusion (SD) approach
Author(s) :
 Name : Ahmed A. Abd El-Latif Address : Department of Mathematics, Faculty of Science, Menoufia University, Egypt

Accepted : 5/10/2016 6:20:00 AM
Abstract :
The development of multimedia technology and internet tools help to spread more personal and public information at net. The security and the validity of information, especially digital image is a critical issue. Digital image scrambling is a common way to encrypt image data and hide image content from illegal user. There are several quantum images scrambling schemes focus on the color or position space. However, the quantum image scrambling focusing on both of them does not exist in one scheme. The main contribution of this paper is introducing a novel approach for merging three common quantum techniques: Gray code as diffusion stage, and Arnold cat map with Fibonacci transformation as confusion stage. Therefore the novel approach called SD that has merits of each technique and avoids the weakness of each one. This merging led to increasing security of image, logically improving quality of image scrambling. Individual and pair wise comparisons among proposed approach SD and quantum technique are performed. Numerical simulations results and theoretical analyses demonstrate that the proposed SD scrambling dominate the three classical techniques mentioned above.

Ref : 756
Title : Maximum Likelihood Estimation in Stochastic Differential Equations
Author(s) :
 Name : Tugcem PARTAL Address : Yildiz Technical University, Department of Mathematical Engineering 34210, Istanbul, Turkey

 Name : Gulsen ORUCOVA BUYUKOZ, Address : Yildiz Technical University, Department of Mathematic 34210, Istanbul, Turkey

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/10/2016 5:48:00 AM
Abstract :
Maximum likelihood parameter estimation is presented in this work. This method is practicable whenever the intrinsic stochastic differential equation is a Markov process. We discuss the case of discrete observations. The likelihood functions are computed by the observation data. Finally, we provide an empirical illustration and discuss the Euler Maruyama method for solving stochastic model. The numerical results show the effectiveness of this estimation method in the stock prices.

Key words : Maximum likelihood estimator, Stochastic differential equations,Euler Maruyama method.

REFERENCES
[1] Allen, Edward. Modeling with Itô stochastic differential equations. Vol. 22. Springer Science & Business Media, 2007.
[2] Black, Fischer, and Myron Scholes. "The pricing of options and corporate liabilities." The journal of political economy (1973): 637-654.
[3] Hurn, A. Stan, Kenneth A. Lindsay, and Vance L. Martin. "On the efficacy of simulated maximum likelihood for estimating the parameters of stochastic differential Equations*." Journal of Time Series Analysis 24.1 (2003): 45-63.
[4] Ito, K. “On stochastic differential equations,” Memoirs American Mathematical Society, (1951): 4.
[5] Kloeden, Peter E., and Eckhard Platen. "Numerical Solution of Stochastic Differential Equations Springer-Verlag." New York (1992).
[6] Lo, Andrew W. "Maximum likelihood estimation of generalized Itô processes with discretely sampled data." Econometric Theory 4.02 (1988): 231-247.
[7] Kloeden, Peter E., et al. "On effects of discretization on estimators of drift parameters for diffusion processes." Journal of Applied Probability (1996): 1061-1076.
[8] Wiener, Norbert. "The average of an analytic functional and the Brownian movement." Proceedings of the National Academy of Sciences 7.10 (1921): 294-298.

Ref : 755
Title : Application on Nonparametric Estimation
Author(s) :
 Name : Gulsen ORUCOVA BUYUKOZ Address : Yıldız Technical University, Davutpasa Campus Faculty of Arts & Science, Department of Mathematics.

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/9/2016 5:30:00 PM
Abstract :
Stochastic differential equations has a wide range of applications in finance. We consider one of them which is Black Scholes model. If we have stock price data between certain data (it may be daily, monthly or yearly) we can obtain stochastic differential equation which supply this data via estimation methods. In our study we consider Nonparametric estimation method. Using this method we will find coefficient our stochastic differential equation. After we will solve this stochastic differential equation with a numerical method. In the end we will compare actual data with approximation solution which we obtain.

Key words: Stochastic differential equation, Nonparametric Estimation, Black Scholes model.

REFERENCES

[1] Edward Allen. Modeling with Ito stochastic diff erential equations, volume 22. Springer

[2] Desmond J Higham. An algorithmic introduction to numerical simulation of stochastic di fferential equations. SIAM review, 43(3):525-546, 2001.

[3] Peter E Kloeden and Eckhard Platen. Numerical solution of stochastic di fferential equations springer-verlag. New York, 1992.

[4] Simon JA Malham and Anke Wiese. An introduction to sde simulation. arXiv preprint arXiv:1004.0646, 2010.

[5] Fischer Black and Myron Scholes. The pricing of options and corporate liabilities. The journal of political economy, pages 637-654, 1973.

Ref : 754
Title : Application on Nonparametric Estimation
Author(s) :
 Name : Gulsen ORUCOVA BUYUKOZ Address : Yıldız Technical University, Davutpasa Campus Faculty of Arts & Science, Department of Mathematics

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/9/2016 5:31:00 PM
Abstract :
Abstract:
Stochastic differential equations has a wide range of applications in finance. We consider one of them which is Black Scholes model. If we have stock price data between certain data (it may be daily, monthly or yearly) we can obtain stochastic differential equation which supply this data via estimation methods. In our study we consider Nonparametric estimation method. Using this method we will find coefficient our stochastic differential equation. After we will solve this stochastic differential equation with a numerical method. In the end we will compare actual data with approximation solution which we obtain.

Key words: Stochastic differential equation, Nonparametric Estimation, Black Scholes model.

REFERENCES

[1] Edward Allen. Modeling with Ito stochastic diff erential equations, volume 22. Springer Science & Business Media, 2007.

[2] Peter E Kloeden and Eckhard Platen. Numerical solution of stochastic di fferential equations springer-verlag. New York, 1992.

[3] Desmond J Higham. An algorithmic introduction to numerical simulation of stochastic di fferential equations. SIAM review, 43(3):525-546, 2001.

[4] Fischer Black and Myron Scholes. The pricing of options and corporate liabilities. The journal of political economy, pages 637-654, 1973.

[5] Richard Stanton. A nonparametric model of term structure dynamics and the market price of interest rate risk. The journal of Finance, 52(5):1973-2002,1997.

[6] Simon JA Malham and Anke Wiese. An introduction to sde simulation. arXiv preprint arXiv:1004.0646, 2010.

Ref : 753
Title : Application on Nonparametric Estimation
Author(s) :
 Name : Gulsen ORUCOVA BUYUKOZ Address : Yıldız Technical University, Davutpasa Campus Faculty of Arts & Science, Department of Mathematics

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/9/2016 5:31:00 PM
Abstract :
Abstract:
Stochastic differential equations has a wide range of applications in finance. We consider one of them which is Black Scholes model. If we have stock price data between certain data (it may be daily, monthly or yearly) we can obtain stochastic differential equation which supply this data via estimation methods. In our study we consider Nonparametric estimation method. Using this method we will find coefficient our stochastic differential equation. After we will solve this stochastic differential equation with a numerical method. In the end we will compare actual data with approximation solution which we obtain.

Key words: Stochastic differential equation, Nonparametric Estimation, Black Scholes model.

REFERENCES

[1] Edward Allen. Modeling with Ito stochastic diff erential equations, volume 22. Springer Science & Business Media, 2007.

[2] Peter E Kloeden and Eckhard Platen. Numerical solution of stochastic di fferential equations springer-verlag. New York, 1992.

[3] Desmond J Higham. An algorithmic introduction to numerical simulation of stochastic di fferential equations. SIAM review, 43(3):525-546, 2001.

[4] Fischer Black and Myron Scholes. The pricing of options and corporate liabilities. The journal of political economy, pages 637-654, 1973.

[5] Richard Stanton. A nonparametric model of term structure dynamics and the market price of interest rate risk. The journal of Finance, 52(5):1973-2002,1997.

[6] Simon JA Malham and Anke Wiese. An introduction to sde simulation. arXiv preprint arXiv:1004.0646, 2010.

Ref : 752
Title : J INTEGRAL SOLUTION FOR SEMI-ELLIPTICAL SURFACE CRACK IN POLYPROPYLENE PIPES UNDER INTERNAL PRESSURE
Author(s) :
 Name : DAIKH Abdelkader Address : University of Mascara, 29000 Mascara, Algeria

Accepted : 5/9/2016 3:10:00 PM
Abstract :
In the present work, the three-dimensional finite element method is used to analyze the propagation criteria for a semi-elliptical crack in a polypropylene pipe under internal pres-sure. The crack prop gation behavior is analyzed by J-integral calculation. The effects of the crack position in the pipe and the loading, as well as the size and configuration of the crack, are examined. The results obtained enable us to deduce that the propagation of a crack depends on several factors.

Keywords: J-Integral, Semi-elliptical crack, Polypropylene, Fracture, Pipe, FEM.

Ref : 751
Title : NUMERICAL ANALYSIS OF THE EFFECTS OF THE COMPOSITE AND ADHESIVE AGING ON THE PLASTICITY IN BONDED COMPOSITE REPAIRS
Author(s) :
 Name : MERDJI Ali Address : University of Mascara, 29000 Mascara, Algeria

Accepted : 5/9/2016 3:09:00 PM
Abstract :
In this study, the effects of hygrothermal aging of composite patches and adhesives on the plasticity ahead of repaired crack with bonded composite patch were analyzed. The Enite element method was used to compute the size and the shape of the plastic zone for cracks repaired with bonded hygrothermal aged composite patches and adhesives. The obtained results show that moisture absorption has a negative effect on the repair performance. Indeed, the size of plastic zone increases with an increase in the rate of water absorption whether in composite patches or in adhesives. The reduction of the composite patches and adhesive strength by the water absorption leads to a reduction of the repair performances.

Keywords: Composite repair, Adhesive, Hygrothermal aging, Plastic zone, Finite element method

Ref : 750
Title : EXPERIMENTAL AND NUMERICAL ANALYSIS OF BONDED COMPOSITE
Author(s) :
 Name : AMINALLAH Laid Address : University of Mascara 29000 Mascara, Algeria

Accepted : 5/9/2016 2:31:00 PM
Abstract :
In this study, the performances of aged bonded composite repair of aircraft structures have beenevaluated by conducting experimental and numerical investigations. The accelerating aging of the patch was realized by immersion in water for 120 days. The performance of aged and non-aged bonded composite patches in the repair of cracked structures was eva-luated. The experimental results showed that the fatigue life of the aircraft structures can be signiﬁcantly improved with the patch repair. The patch aging reduces the repair perfor-mances because of the reduction of the composite rigidity by humidity absorption. Numeri-cal results show that the stress intensity factor at the crack tip is signiﬁcantly reduced by the presence of the patch. The humidity absorption increases the stress intensity factor at the crack tip and decreases the adhesive stresses. Nevertheless, the repair durability cannot be improved by the humidity absorption because it leads to a reduction of the mechanical resistance of the adhesive.

Keywords: Bonded composite repair, Patch aging, Fatigue life, Stress intensity factor, Adhesive stresses

References
[1] Baker A.A. Repair of cracked or defective metallic aircraft components with advanced ﬁbre com-posites an overview of Australian work, Compos. Struct. 1984; 2: 153–181.
[2] Baker A.A., Chester R.J. Recent advances in bonded composite repair technology for metallic air-craft com ponents, in: T. Chandra, A.K. Dhingra (Eds.), Advanced Composites 93, Proceedings of the International Conference on Advanced Composite Materials, 1993; 45–49.
[3] Ouinas D., Sahnoune M., Benderdouche N., Bachir Bouiadjra B. Stress intensity factor analysis for notched cracked structure repaired by composite patching, Mater. Des. 2009; 30: 2302–2308.
[4] Budiansky B., Hutchinson J.W. Analysis of closure in fatigue crack growth, J. Appl. Mech. 1978; 45: 261–215.

Ref : 749
Title : NUMERICAL ANALYSIS OF FRACTURE BEHAVIOUR OF BONDED STRUCTURE
Author(s) :
 Name : Ali BENHAMENA Address : Laboratoire LPQ3M BP 763, University of Mascara, Algeria

Accepted : 5/9/2016 1:38:00 PM
Abstract :
The assembly of composite materials is one of the major problems in the aircraft industry. Currently, various techniques have been developed to ensure the structural assembly of these materials, such as welding, riveting, bolting and bonding. Major industrial challenges are mainly, at present, the design of simplified structures to reduce the maximum the cost and also to reduce the energy consumption. For this purpose, the aircraft industry makes frequent use the adhesive bonding because it offers many benefits (weight gain, regular stress distribution, no holes ...) compared to other existing techniques. The vast majority of composite structures are susceptible to accidental impacts during their use but also during their manufacture and maintenance. One of the most practical solutions for the repair of composite structures is to bond a patch over the damaged area. The main objective of this work is to apply the three dimensional finite element method in order to analyze the level and the distribution of critical stress in a damaged structure and repaired by patch of compo-site material. A good correlation was found between the finite element simulation and the literature results for the case of isotropic material. The effect fibers orientation and the me-chanical properties of the patch are highlighted.

Keywords: Fracture, Modeling, Crack, Residual stress, bonding, patch, repair

References
[1] Her S-C., Shie D-L. (1998) The failure analysis of bolted repair on composite laminate. Interna-tional Journal of Solids and Structures (35) pp. 1679-1693
[2] Benhamena A, A. Talha, N. Benseddiq, A. Amrouche, G. Mesmacquec and M. Benguediab. (2010) Effect of clamping force on fretting fatigue behaviour of bolted assemblies: Case of couple steel–aluminium. Materials Science and Engineering A: 527: pp 6413–6421
[3] Benhamena A, A. Amrouche, A. Talha, N. Benseddiq. (2012) Effect of contact forces on fretting fatigue behaviour of bolted plates: Numerical and experimental analysis. Tribology International 48: pp 237–245
[4] Rodes J., Brossier R., Gong X.-J., Rousseau J. (2006) Etude des performances des structures com posites réparées. Matériaux 2006, 13-17 novembre 2006, Dijon, France
[5] Grabovac I., Whittaker. D. (2009) Application of bonded composites in the repair of ships struc-tures – A 15-year service experience. Composites: Part A 40 1381-1398

Ref : 748
Title : Fracture of Bolted Assemblies by Fretting
Author(s) :
 Name : Ali BENHAMENA Address : University of Mascara

Accepted : 5/9/2016 1:00:00 PM
Abstract :
The behaviour of the bolted assembly due to the imposed eccentric loading generates a very complex distribution of the stress in the structure. In this study the three finite element method (3D-FEM) is used to analyze the fracture behavior of a bolted assembly. The effects of loading on the mechanical properties are investigated. The results show that the maximum stresses are located at the connecting hole. In addition, the stress concentration is amplified by the presence of the friction phenomenon at the interface of the contact surfaces which leads to cracking or degradation of the contact surfaces under various loading condition

Ref : 747
Title : A numerical method based on moving least squares for the nonlinear mixed Volterra–Fredholm–Hammerstein integral equations
Author(s) :
 Name : Saeed Vahdati Address : Department of Mathematics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran

Accepted : 5/9/2016 1:00:00 PM
Abstract :
In this paper, we present a numerical scheme based on the moving least squares (MLS) method for numerical solution of the nonlinear mixed Volterra–Fredholm Hammerstein integral equations. This method utilizes some distributed nodal points to approximate the unknown function, for the solution of the problem. The distribution of nodes could be selected regularly or randomly. Illustrative examples are provided to show the efficiency and the accuracy of the proposed method.

Ref : 746
Title : Numerical Simulation of Nonlinear Stochastic Differential Equations
Author(s) :
 Name : Tugcem PARTAL Address : Yildiz Technical University, Department of Mathematical Engineering 34210, Istanbul, Turkey

 Name : Mustafa BAYRAM Address : Uskudar University, Department of Healthcare Management 34664 Istanbul, Turkey

Accepted : 5/9/2016 7:47:00 AM
Abstract :
Abstract :
In this work we discuss the practical and accessible introduction to numerical methods for stochastic differential equations. We numerically simulate the strong solutions and the approximate solutions of the nonlinear stochastic differential equations, with respect to the mean square error. Especially, we focus on the strong solution and its context. Numerical examples that compare the proposed method and simulate with different simulation path.

Key words : Nonlinear stochastic differential equations, Numerical simulation.

REFERENCES

[1] Edward Allen. Modeling with Ito stochastic diff erential equations, volume 22. Springer

[2] I.I. Gikhman and A.V. Skorokhod. Stochastic Diff erential Equations. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer-Verlag, 1972.

[3] Desmond J Higham. An algorithmic introduction to numerical simulation of stochastic di fferential equations. SIAM review, 43(3):525-546, 2001.

[4] Peter E Kloeden and Eckhard Platen. Numerical solution of stochastic di fferential equations springer-verlag. New York, 1992.

[5] Simon JA Malham and Anke Wiese. An introduction to sde simulation. arXiv preprint arXiv:1004.0646, 2010.

[6] Denis Talay. Efficient numerical schemes for the approximation of expectations of functionals
of the solution of a sde, and applications. In Filtering and control of random processes, pages 294-313. Springer, 1984.

[7] WolfgangWagner and Eckhard Platen. Approximation of Ito integral equations. Akademie
der Wissenschaften der DDR. Zentralinstitut fur Mathematik und Mechanik, 1978.

Ref : 745
Title : Assessment of Soil Pollution by Toxic Metals and Petrochemical Compounds Wastes at West Libya
Author(s) :
 Name : Adel AS Banana Address : Environment Engineering Department, Subrata College, University of Zawia, Libya

 Name : Adel Al-Gheethi Address : Faculty of Civil and Environmental Engineering, University Tun Hussein Onn Malaysia (UTHM), Johor, Malaysia

 Name : Efaq AN Address : School of Industrial Technology, Universiti Sains Malaysia (USM), Penang, Malaysia

Accepted : 5/9/2016 4:17:00 AM
Abstract :
The current study aimed to assessment of soil contamination by titanium (Ti), Beryllium (Be), tungsten (W), phosphorus (P) and vanadium (V) as well as others heavy metals in the soil at Abu-Kammash in Libya, which received the petrochemical wastewater generated from General Company of Chemical Industries (GCCI). The presence of hazardous materials were determined using inductively coupled plasma (ICP-Mass) Spectrometry and Gas chromatography–mass spectrometry (GC-MS). The results revealed that the soil samples from 100 m of west and east Abu-Kammash was polluted with Ti (39 vs. 175 µg kg-1), Be (219 vs. 421 µg kg-1), W (0.015 vs. 0.041 µg kg-1), V (18.5 vs. 21.3 µg kg-1). Concentrations of heavy metals ranged from 18.5 µg kg-1 of vanadium (V) to 1120 µg kg-1 of zinc (Zn). Among petrochemical compounds investigated, tentriacontane (C31H64), 3-méthyl-2oxopropylfuran (C8H10O2) and tertrapentacontane (C54H108Br2) was the most detected in the soil samples. The presence of these toxic elements in the environment represent high adverse effects on human health via food chain.

Ref : 744
Title : stochastic approximation in a non-linear calibration problem
Author(s) :

Accepted : 5/8/2016 2:37:00 PM
Abstract :
In this work, we propose the stochastic approximation algorithm Robbins-Monro to solve a non-linear calibration problem
Introduction
During the last decade, the literature about the calibration has strong developed and techniques have been greatly refined and expanded. In the early 1990s some important work has paved the way. Model Assisted Survey Sampling
of C.-E. Sarndal, B. Swensson and J.Wretman, published in 1992, is undoubtedly the most important reference for the survey statistician. [7] The same1992, section Calibration Estimators in Survey Sampling Deville and J.-C.THIS. Sarndal was published in JASA [1]. This important article suddenly
open a larger class of calibration techniques. Many researchers, theoreticians and practitioners around the world, public statistical institutes and universities have since inspired this article which gave rise
has a long series of studies on the calibration. (We will add a few references
bibliographic)
In this work, we propose the stochastic approximation procedure Robbins-Monro [5] to solve a non-linear calibration problem.

Ref : 743
Title : Numerical analysis of a class of the obstacle problems using the pseudo-spectra method
Author(s) :

Accepted : 5/8/2016 2:37:00 PM
Abstract :
Spectral elements method consists in approximating the solution of partial differential equations, using polynomials functions of high degree to every element of the quadrangulation. The analysis of the prior and the posterior errors is presented.

References:
[1] C. Bernardi, Y. Maday et F. Rapetti Discrétisation variationnelles de problèmes
aux limites elliptiques, Springer-Verlag, Berlin Heidelberg 2004.
[2] D. Kinderlehrer and G. Stampacchia An introduction to variational inequalities
and their applications, SIAMS Philadelphia, 2000.
[3] V. Barbu, Analysis and Control of non linear infinite Dimoentional System, Math. Sci.
Engrg. 190, Academic Press, San Siego, 1993.

Ref : 742
Title : Fatigue life prediction under variable loading based a non-linear energy model.
Author(s) :
 Name : AID Abdelkrim Address : Dept. of Science & Technology, LPQ3M Laboratory, University of Mascara, Mascara, Algeria

 Name : Meddah H M Address : Dept. of Science & Technology, LSTE Laboratory, University of Mascara, Mascara, Algeria

 Name : ould chikh Address : Dept. of Science & Technology, LSTE Laboratory, University of Mascara, Mascara, Algeria

Accepted : 5/8/2016 11:14:00 AM
Abstract :
A method of fatigue damage accumulation based upon application of energy parameters of the fatigue process is proposed in the paper. Using this model is simple, it has no parameter to be determined, it requires only the knowledge of the curve W–N (W: strain energy density N: number of cycles at failure) determined from the experimental Wöhler curve. To examine the performance of nonlinear models proposed in the estimation of fatigue damage and fatigue life of components under random loading, a batch of specimens made of 6082 T 6 aluminium alloy has been studied and some of the results are reported in the present paper. The paper describes an algorithm and suggests a fatigue cumulative damage model, especially when random loading is considered.
This work contains the results of uni-axial random load fatigue tests with different mean and amplitude values performed on 6082T6 aluminium alloy specimens. The proposed model has been formulated to take into account the damage evolution at different load levels and it allows the effect of the loading sequence to be included by means of a recurrence formula derived for multilevel loading, considering complex load sequences. It is concluded that a ‘damaged stress interaction damage rule’ proposed here allows a better fatigue damage prediction than the widely used Palmgren–Miner rule, and a formula derived in random fatigue could be used to predict the fatigue damage and fatigue lifetime very easily. The results obtained by the model are compared with the experimental results and those calculated by the most fatigue damage model used in fatigue (Miner’s model). The comparison shows that the proposed model, presents a good estimation of the experimental results. Moreover, the error is minimized in comparison to the Miner’s model.

Ref : 741
Title : Fatigue life prediction under variable loading based a non-linear energy model.
Author(s) :
 Name : AID Abdelkrim Address : Dept. of Science & Technology, LPQ3M Laboratory, University of Mascara, Mascara, Algeria

Accepted : 5/8/2016 11:14:00 AM
Abstract :
A method of fatigue damage accumulation based upon application of energy parameters of the fatigue process is proposed in the paper. Using this model is simple, it has no parameter to be determined, it requires only the knowledge of the curve W–N (W: strain energy density N: number of cycles at failure) determined from the experimental Wöhler curve. To examine the performance of nonlinear models proposed in the estimation of fatigue damage and fatigue life of components under random loading, a batch of specimens made of 6082 T 6 aluminium alloy has been studied and some of the results are reported in the present paper. The paper describes an algorithm and suggests a fatigue cumulative damage model, especially when random loading is considered.
This work contains the results of uni-axial random load fatigue tests with different mean and amplitude values performed on 6082T6 aluminium alloy specimens. The proposed model has been formulated to take into account the damage evolution at different load levels and it allows the effect of the loading sequence to be included by means of a recurrence formula derived for multilevel loading, considering complex load sequences. It is concluded that a ‘damaged stress interaction damage rule’ proposed here allows a better fatigue damage prediction than the widely used Palmgren–Miner rule, and a formula derived in random fatigue could be used to predict the fatigue damage and fatigue lifetime very easily. The results obtained by the model are compared with the experimental results and those calculated by the most fatigue damage model used in fatigue (Miner’s model). The comparison shows that the proposed model, presents a good estimation of the experimental results. Moreover, the error is minimized in comparison to the Miner’s model.

Key Words:fatigue, life prediction, damage

Ref : 740
Title : Unusual Chemistry with Magic [B(C6F5)4]- and [TCNQ]-/2-Anions: From Fundamental Studies to Technological Applications
Author(s) :

Accepted : 5/8/2016 11:14:00 AM
Abstract :
In this talk, recent advancement in molecular electrochemistry of some practically and historically important organometallic compounds in low polarity media comprising the weakly coordinating [B(C6F5)4]- anion will be presented. Also, the synthesis and fabrication of nanostructured materials having fascinating optical, electrical, and magnetic properties based on metal-TCNQ (TCNQ = tetracynoquinodimethane) will be discussed in view of facile electrochemical and photochemical approaches. This study provides an easy access for controlling the morphology and crystals size of the electrochemically generated M[TCNQ]2(H2O)2 molecular materials to suit their desired applications.

Ref : 739
Title : A NOVEL ALGORITHM FOR WAVELET COMPRESSION ECG SIGNAL USING DOUBLE UNIFORM SCALAR DEAD-ZONE QUANTIZER
Author(s) :
 Name : Messaoudi AbdelHamid Address : MSE Laboratory, University of Biskra, BP 145, 07000, Biskra, Algeria.

Accepted : 5/8/2016 11:14:00 AM
Abstract :
This paper presents a new wavelet-based method for the compression of electrocardiogram (ECG). Usually, the standard wavelet-based compression scheme uses Discrete Wavelet Transform (DWT) to decompose the ECG signal, a method to threshold the wavelet coefficients, a quantizer and a technique to encode the quantized thresholded wavelet coefficients. In this paper, we use a double dead zone quantizer to quantify the wavelet coefficients to be encoded at the last stage.
For this aim, a novel algorithm is developed to increase efficiently CR with nearly the same PRD. The mean of the ECG signal is first removed. The resulted signal is then decomposed into subbands using the DWT. Each wavelet subband is splited in two sets. A dead zone quantizer is used for each set. Simulation results on several records from the MIT-BIH arrhythmia database show that the proposed algorithm outperforms the codec using a single quantizer.

Keywords: ECG signal compression; Wavelets; Single dead zone quantizer, Double dead zone quantizer.

Ref : 738
Title : New ECG Compression technique using Bat Algorithm
Author(s) :
 Name : Messaoudi AbdelHamid Address : MSE Laboratory, University of Biskra, BP 145, 07000, Biskra, Algeria.

Accepted : 5/8/2016 11:14:00 AM
Abstract :
In this paper, a new compression technique of the electrocardiogram (ECG) signals is proposed using Discrete Wavelet Transform (DWT) and Bat Algorithm (BA). The wavelet coefficients of the ECG signal are thresholded using BA to find the optimal threshold to achieve the user Percent Root-mean-square Distortion (PRD). The thresholded wavelet coefficients are quantized and coded using the two role encoder (TRE) followed by arithmetic encoder. The obtained results valid the effectiveness of our proposed compared to some published methods.

Ref : 737
Title : Study of racemate hydrophobic thiourea substrates Separation
Author(s) :
 Name : Bouchekara Mohamed Address : Laboratoire de génie des procédés et chimie des solutions, University Mustapha Stanbouli of Mascara (29000), Algeria

 Name : Soltani Zohra Address : Laboratoire de génie des procédés et chimie des solutions, University Mustapha Stanbouli of Mascara (29000), Algeria

 Name : Inas EL Hassan Address : Laboratory of Applied Chemistry (LAC), Faculty of Science III, Lebanese University, P.O. Box 826, Tripoli, Lebanon

 Name : Ahmad Allouch Address : Laboratory of Applied Chemistry (LAC), Faculty of Science III, Lebanese University, P.O. Box 826, Tripoli, Lebanon

Accepted : 5/6/2016 3:14:00 PM
Abstract :
The separation of racemic-N-(2-ethylphenyl)-N-(2-methylphenyl) thiourea, a hydrophobic substrate trap, to collect its atropisomers, was studied using reversed-phase high-performance liquid chromatography (RP-HPLC). Hydroxypropyl-beta-cyclodextrin (HP-β-CD) was used as a complexing additive to the racemic mixture (to obtain chiral molecules) and hexane-ethanol (50% in volume) as a mobile phase. The effects of mobile phase composition, on separation were systematically investigated to establish the optimum conditions of resolution.

Ref : 736
Title : Applications of Variational Iteration Method for Solving A Class of Nonlinear Integral Equations
Author(s) :
 Name : Mohammed S. Mechee Address : kufa university-Najaf-Iraq

Accepted : 5/6/2016 1:00:00 PM
Abstract :
In this paper, one type of Volterra Integral Equations (VIEs) is classified to be nth-order VIE of type IV. This class of nth-order VIE usually occurs in many fields of physics and engineering. The nth-order VIE of type IV is converted to nth-order ordinary differential equations (ODEs). The ODE is then solved using variational iteration method (VIM). A new iteration technique is proposed to solve a class of nonlinear integral equations. It shows that the variational iteration method is efficient and powerful tool for dealing with this class of nonlinear integral equations. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method. The comparison of the results of VIM with those obtained by classical method reveals that VIM is very effective, convenient and quite accurate to both linear and nonlinear problems. It is predicted that VIM can be widely applied in engineering.

Keywords: integral equations; Volterra Integral Equations; VIM; nth-order; system of
ODEs.

Ref : 735
Title : Numerical Simulation of Nonlinear Stochastic Differential Equations
Author(s) :
 Name : Tugcem PARTAL Address : Yildiz Technical University, Department of Mathematical Engineering 34210, Istanbul, Turkey

Accepted : 5/6/2016 3:18:00 AM
Abstract :
In this work we discuss the practical and accessible introduction to numerical methods for stochastic differential equations. We numerically simulate the strong solutions and the approximate solutions of the nonlinear stochastic differential equations, with respect to the mean square error. Especially, we focus on the strong solution and its context. Numerical examples that compare the proposed method and simulate with different simulation path.

Key words : Nonlinear stochastic differential equations, Numerical simulation.

REFERENCES

[1] Edward Allen. Modeling with Ito stochastic diff erential equations, volume 22. Springer

[2] I.I. Gikhman and A.V. Skorokhod. Stochastic Diff erential Equations. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer-Verlag, 1972.

[3] Desmond J Higham. An algorithmic introduction to numerical simulation of stochastic di fferential equations. SIAM review, 43(3):525-546, 2001.

[4] Peter E Kloeden and Eckhard Platen. Numerical solution of stochastic di fferential equations springer-verlag. New York, 1992.

[5] Simon JA Malham and Anke Wiese. An introduction to sde simulation. arXiv preprint arXiv:1004.0646, 2010.

[6] Denis Talay. Efficient numerical schemes for the approximation of expectations of functionals
of the solution of a sde, and applications. In Filtering and control of random processes, pages 294-313. Springer, 1984.

[7] WolfgangWagner and Eckhard Platen. Approximation of Ito integral equations. Akademie
der Wissenschaften der DDR. Zentralinstitut fur Mathematik und Mechanik, 1978.

Ref : 734
Title : Homozygous T172T and Heterozygous G135C Variants of Homologous Recombination Repairing Protein RAD51 are Related to Sporadic Breast Cancer Susceptibility
Author(s) :
 Name : Mazhar Al Zoubi Address : Biology Department, Jordan

Accepted : 5/5/2016 5:29:00 PM
Abstract :
Breast cancer (BC) is the most common cancer and the second leading cause of death among women worldwide. Only 10% of BC cases have been related to genetic predisposition. Rad51, a homologous recombination (HR) protein plays an important role in HR in meiosis and repairing DNA double-strand breaks. Expression of RAD51 may be a predictive biomarker in certain types of cancers. The exact mechanisms involved in the regulation of RAD51 expression are not fully understood, but certain transcription factors have been suggested to be the tuning mechanism of its expression. In this study, we propose that polymorphisms in the 5′-UTR promoter region of the RAD51 gene are prognostic factors for BC development. Direct sequencing of 106 samples from sporadic BC patients and 54 samples from a control group was performed. FFPE samples were the choice of sample collection, which might be a limitation of our study. Homologous variant T172T alone was found to be significantly associated with BC risk (OR 3.717, 95% CI 2.283–6.052, p < 0.0001). On the other hand, heterozygous G135C did not show any significant relationship with risk of sporadic BC (OR 1.598, 95% CI 0.5638–4.528, p > 0.05). Moreover, both variants; homozygous T172T and heterozygous G135C together; showed a significant relationship with sporadic BC susceptibility.

Ref : 733
Title : Smoothing Spline estimator of the regression function with twice censored data
Author(s) :
 Name : Ilhem Laroussi Address : Département de Mathématiques Université Mentouri, route dAin El Bey, 25017 Constantine, Algérie Phone: 00 213 31 81 90 08, Fax: 00 213 31 80 14 14

Accepted : 5/5/2016 12:44:00 PM
Abstract :
Let X be a random vector, let Y be a bounded random variable and let R and L be two censoring random variables. Our goal is to construct smoothing Spline estimate of the regression function E(Y |X = x) when Y is twice censored. Namely Y is censored on the right by R and L is a left censoring variable operating on min(Y; R). We establish that the mean squared errors of the proposed estimator converge to the optimal value almost surely. This investigation extends the results available for Y only right censored.

Ref : 732
Title : Analysis of the Polypropylene Mechanical Behaviour Response by Numerical Method
Author(s) :
 Name : Meddah Hadj Miloud Address : LSTE Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

 Name : Ould chikh el Bahri Address : LSTE Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

 Name : della noureddine Address : LSTE Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

 Name : merdji ali Address : LMPM Laboratory, Department of Mechanics, SBA university, Algeria

 Name : Khellafi Habib Address : LSTE Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

 Name : Bendouba Mustapha Address : LPQ3M Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

 Name : Aid Abdelkrim Address : LPQ3M Laboratory, Department of Mechanics, Faculty of Science and Engineering, University of Mascara, BP. 763, Route de Mamounia, Mascara, 29000, Algeria

Accepted : 5/4/2016 1:39:00 PM
Abstract :
The security requirements in the industrial world incite an ever deeper understanding of the behaviour and the fracture of polymeric materials used as structural parts of the passenger compartment. We are looking at a polypropylene commonly used in this field in order to identify the physical processes responsible for their mechanical properties. The mechanical characterization of the response of the polymer under simple and complex strain relies on a unique method of combining performing numerical analysis techniques. The behaviour of polypropylene with large deformations dissipative involves several processes. Its consequences on the mechanical properties of materials are significant. The contribution in this work is to demonstrate by experimental and numerical modeling the polypropylene mechanical behaviour.
Experimental results gave useful information’s about the required true stress and deformation behaviour of the polypropylene based on a non-contact method. To take into account the realistic behaviour in finite element simulations, the set of material parameters was identified on hardening and dilatational curves obtained by video-controlled tensile tests. The extrusion stress and strain evolutions were numerically investigated. The numerical shutter consisting then with exploration of the potential of a behaviour law, based on one thermodynamic approach employee in our computer code.
This type of modelling gave promising results in simple situation, and it is one tool adapted well with the study phenomena more complex like for example the rupture in a polymer structure. Our model fact of intervening parameters identifiable on the simple basis tests in monotonous traction.
The unit our tests of analysis in term sizes total is accompanied of a local sizes representation acceptable even in the case of strong localizations. Thus, the mode product the dissymmetry stress-strain and allows to envisage the evolutions of the transverse deformations during calculation thus that localizations of deformations in the presence of the notches.

Ref : 731
Title : Analysis study of loading parameters effect on fatigue crack closure
Author(s) :
 Name : Ould Chikh El Bahri Address : LSTE Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

 Name : Meddah Hadj Miloud Address : LSTE Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

 Name : Della Noureddine Address : LSTE Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

 Name : Merdji Ali Address : LMPM Laboratory, University of SBA, Algeria

 Name : Khellafi habib Address : LSTE Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

 Name : Bendouba Mustapha Address : LPQ3M Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

 Name : Aid Abdelkrim Address : LPQ3M Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

Accepted : 5/4/2016 1:39:00 PM
Abstract :
A detailed analysis of the influence of several parameters on fatigue crack closure is presented, and a comprehensive experimental study of different maximum load Pmax levels influence on crack closure and on fatigue crack growth, at a different load ratio R and yield strength SY is reported. Careful measurements of crack opening loads, made to verify their influence on the crack propagation rate on compact tension specimens, show an inversely proportional relationship between the opening loads and the fatigue crack length.

Ref : 730
Title : Topological covering morphisms of internal groupoids in topological groups with operations
Author(s) :
 Name : Hürmet Fulya Akız Address : Department of Mathematics, Bozok University

 Name : Osman Mucuk Address : Department of Mathematics, Erciyes University

Accepted : 5/4/2016 8:36:00 AM
Abstract :
The theory of covering groupoids plays an important role in the applications of groupoids [5,12]. A groupoid is a (small) category in which each morphism is an isomorphism [5]. A topological groupoid is a groupoid such that the set G of morphisms and the set Ob(G) of objects are topological spaces; and source, target, inclusion, inverse and product maps are continuous [8,9,16]. In [9] it was proved that for a topological groupoid G, the category of topological groupoid coverings over G and the category of topological actions of G on topological spaces are equivalent. It was proved in [3] that if G is a group-groupoid, then the category of group-groupoid covers of G is equivalent to the category of group-groupoid actions of G on groups. In this paper we deal with the topological version of this equivalence in terms of topological internal groupoids which are internal groupoids in the category of topological groups with operations and prove that for a topological internal groupoid G, the category of covering morphisms of G is equivalent to the category of actions of G on topological groups with operations. Finally we give a classification of the covering morphisms of topological internal groupoids.

Keyword:Coverin groupoids, topological groupoids, internal groupoids.

References

[1] Akız, H. F., Alemdar, A., Mucuk, O. and Şahan, T., Coverings of internal groupoids and crossed modules in the category of groups with operations, Georgian Math. Journal, 20-2 (2013) 223-238.

[2] Alemdar, N. and Mucuk, O, The liftings of R-modules to covering groupoids, Hacettepe Journal of Mathematics and Statistics, 41 (6), (2012) 813-822.

[3] Baez, J. C. and Lauda, A. D. Higher-dimensional algebra. V. 2-groups. Theory Appl. Categ. 12 (2004) 423-491 (electronic).

[4] F. Borceux and Maria Manuel Clementino, Topological semi-abelian algebras, Advances in Mathematics 190 (2005) 425-453.

[5] Brown, R., Topology and groupoids, Booksurge PLC, 2006.

[6] Brown, R. and Mucuk, O., Covering groups of non-connected topological groups revisited, Math. Proc. Camb. Phill. Soc., 115 (1994) 97-110.

[7] Brown, R. and Spencer C. B., G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Konn. Ned. Akad. v. Wet., 79 (1976) 296-302.

[8] Brown R. and Hardy J. P. L., Topological Groupoids I: Universal Constructions, Math. Nachr., 71 (1976) 273-286.

[9] Brown R., Danesh-Naruie, G. and Hardy J. P. L., Topological groupoids II: Covering morphisms and G-spaces, Math. Nachr., 74 (1976) 143-156.

[10] Brown R., Danesh-Naruie, G. , The Fundamental Groupoid as a Topological Groupoid, Proc. Edinb. Math. Soc., Vol. 19, (series 2), Part 3, 237-244. 1975.

[11] Datuashvili, T., Categorical, homological and homotopical properties of algebraic objects., Dissertation, Georgian Academy of Science, Tbilisi, 2006.

[12] Higgins, P.J., Groups with multiple operators, Proc. London Math. Soc., (3) 6 (1956) 366-416.

[13] Janelidze,G., L. Marki and W. Tholen, Semi-abelian categories, Category theory 1999 (Coimbra). J. Pure Appl. Algebra, 168 (2002) 367-386.

[14] Higgins, P.J., Categories and groupoids, Van Nostrand, New York, 1971; Reprints in Theory and Applications of Categories, No. 7 (2005) pp 1-195.

[15] İçen, İ., Özcan, A.F. and Gürsoy, M.H., Topological Group-groupoids and Their Coverings, Indian J. Pure Appl. Math., 36(9) (2005) 493-502.

[16] Mackenzie, K.C.H., Lie groupoids and Lie algebroids in differential geometry, London Math. Soc. Lecture Note Series 124, Cambridge University Press, 1987.

[17] Mucuk, O. and Şahan, T., Coverings and crossed modules of topological groups with operations, Turkish Journal of Mathematics, 38 (2014) 833-845

[18] Mucuk, O. and Akız, H.F., Monodromy groupoids of an internal groupoid in topological groups with operations, Filomat, 29 (10) (2015), 2355{2366.

[19] Mucuk, O., Kılıçarslan, B., Şahan, T. and Alemdar N. Group-groupoid and monodromy groupoid, Topology and its Applications, 158 (2011) 2034-2042.

[20] Mucuk O., Coverings and ring-groupoids, Geor. Math. J., 5 (1998) 475-482

[21] Mucuk, O. and Özdemir, M., A monodromy principle for topological rings, Indian J. Pure Appl. Math., 31-12 December (2000) 1531-1535.

[22] Mucuk, O., Şahan, T. and N. Alemdar, Normality and quotients in crossed modules and group-groupoids, Applied Categorical Structures, 23-3 (2015) 415-428

[23] Porter, T., Extensions, crossed modules and internal categories in categories of groups with operations, Proc. Edinb. Math. Soc., 30 (1987) 373-381.

[24] Orzech, G., Obstruction theory in algebraic categories I and II, J. Pure. Appl. Algebra, 2 (1972) 287-314 and 315-340.

[25] Özcan, A. F., Actions and coverings of topological groupoids, Mathematical Sciences And Applications, E-Notes Volume 1 No. 2 pp. 72-83 (2013).

[26] Raikov, D. A., Semiabelian categories, Dokl. Akad. Nauk SSSR 188(1969), 1006-1009; English translation in Soviet Math. Dokl., 1969.V. 10. pp. 1242-1245.

[27] Van der Linden, T., Homology and homotopy in semi-abelian categories, PhD Thesis, Vrije Universiteit Brussel, 2006.

Ref : 729
Title : Fibonacci Matrix Polynomial Method for Linear Complex Differential Equations
Author(s) :
 Name : Faruk Düşünceli Address : Mardin Artuklu University Faculty of Architecture, Department of Architecture Mardin-Turkey

Accepted : 5/4/2016 8:36:00 AM
Abstract :
In this paper, we have obtained the numerical solutions of lineer complex differential equations by using the Fibonacci Polynomials and performed it a test problem. When we have compared exact solutions and numerical solutions of tables and graphs, we realized that our method is reliable, practical and functional.

In other words, using matrix relations between the Fibonacci polynomials and their derivatives, we will develop a method for solving linear complex differential equation.
∑_(n=0)^m▒〖P_n (z) f^((n) ) (z)=g(z)〗
with the initial conditions f^((t) ) (α)=ϑ_t t=0,1,….,m-1.
Let us f(z) is unknown function, P_n (z) and g(z) are analytical functions in the circular domain which D={z=x+iy,z∈C,|z-z_0 |≤r,r∈R^+}, α,z_0∈D, ϑ_t is appropriate complex or real constant.

Keywords: Linear complex differential equations, Fibonacci Polynomials, Matrix Method, Numerical solution.

References
[1] M. Gülsu, B. Gürbüz, Y. Öztürk, and M. Sezer (2011). Laguerre polynomial approach for solving linear delay difference equations. Applied Mathematics and Computation. 217:6765–6776.

[2] M. Sezer and S. Yüzbaşı (2010). A collocation method to solve higher order linear complex differential equations in rectangular domains. Numerical Methods for Partial Differential Equations. 26:596–611.

[3] S. Yüzbaşı, M. Aynıgül, and M. Sezer (2011). A collocation method using Hermite polynomials for approximate solution of pantograph equations. Journal of the Franklin Institute. 348:1128–1139.

[4] F. Düşünceli and E. Çelik (2015). An Effective Tool: Numerical Solutions by Legendre
Polynomials for High-order Linear Complex Differential Equations. British Journal of Applied Science & Technology. 8(4): 348-355.

[5] M. Bagherpoorfard, and F.A. Ghassabzade (2013). Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons. Journal of Applied Mathematics and Physics. 1:58–64.

[6] S. Yüzbası, N. Şahin and M. Gülsu (2011). A collocation approach for solving a class of complex differential equations in elliptic domains. Journal of Numerical Mathematics. 19: 225–246.

Ref : 728
Title : Fibonacci Matrix Polynomial Method for Linear Complex Differential Equations
Author(s) :
 Name : Faruk Düşünceli Address : Mardin Artuklu University Faculty of Architecture, Department of Architecture Mardin-Turkey

Accepted : 5/4/2016 8:36:00 AM
Abstract :
In this paper, we have obtained the numerical solutions of lineer complex differential equations by using the Fibonacci Polynomials and performed it a test problem. When we have compared exact solutions and numerical solutions of tables and graphs, we realized that our method is reliable, practical and functional.

In other words, using matrix relations between the Fibonacci polynomials and their derivatives, we will develop a method for solving linear complex differential equation.
∑_(n=0)^m▒〖P_n (z) f^((n) ) (z)=g(z)〗
with the initial conditions f^((t) ) (α)=ϑ_t t=0,1,….,m-1.
Let us f(z) is unknown function, P_n (z) and g(z) are analytical functions in the circular domain which D={z=x+iy,z∈C,|z-z_0 |≤r,r∈R^+}, α,z_0∈D, ϑ_t is appropriate complex or real constant.

Keywords: Linear complex differential equations, Fibonacci Polynomials, Matrix Method, Numerical solution.

References
[1] M. Gülsu, B. Gürbüz, Y. Öztürk, and M. Sezer (2011). Laguerre polynomial approach for solving linear delay difference equations. Applied Mathematics and Computation. 217:6765–6776.

[2] M. Sezer and S. Yüzbaşı (2010). A collocation method to solve higher order linear complex differential equations in rectangular domains. Numerical Methods for Partial Differential Equations. 26:596–611.

[3] S. Yüzbaşı, M. Aynıgül, and M. Sezer (2011). A collocation method using Hermite polynomials for approximate solution of pantograph equations. Journal of the Franklin Institute. 348:1128–1139.

[4] F. Düşünceli and E. Çelik (2015). An Effective Tool: Numerical Solutions by Legendre
Polynomials for High-order Linear Complex Differential Equations. British Journal of Applied Science & Technology. 8(4): 348-355.

[5] M. Bagherpoorfard, and F.A. Ghassabzade (2013). Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons. Journal of Applied Mathematics and Physics. 1:58–64.

[6] S. Yüzbası, N. Şahin and M. Gülsu (2011). A collocation approach for solving a class of complex differential equations in elliptic domains. Journal of Numerical Mathematics. 19: 225–246.

Ref : 727
Title : 3,4,5-Triiodoanisole via C-H Iodination/ipso-iododecarboxylation Strategy: Synthesis, Reactivity and Application
Author(s) :
 Name : R. M. Al-Zoubi Address : Department of Chemistry, Jordan University of Science and Technology, P.O.Box 3030, Irbid, 22110, Jordan

Accepted : 5/4/2016 8:36:00 AM
Abstract :
Halogenated anisoles and particularly iodinated motifs are ubiquitous and versatile intermediates in the synthesis of many biologically active targets and essential intermediates.[1] Due to the relatively weak nature of C-I bond;[2] it has found particular use in transition metal catalyzed coupling processes or in nucleophilic displacement reactions using organomagnesium intermediates.[3] Herein, we report the first synthesis of hitherto unknown 3,4,5-triiodoanisole in tandem one-pot C-H iodination/ipso-iododecarboxylation from para-anisic acid that is catalytic, scalable, efficient and easy to workup and purify. A potential application of the target compound as precursor for novel site-selective Metal-Iodine exchange and Suzuki-Miyaura cross-coupling reactions were also demonstrated. It provided 3,4,5-trisubstituted anisole derivatives in high regioselective, which are useful building blocks in synthesis and indeed are hard to make by any other means.[4]

References:
1) N. Gernigon, R. M. Al-Zoubi, D. G. Hall, J. Org. Chem. 2012, 77, 8386-8400; S. A. Mousa, Vascular Vision Pharmaceutical Company Inc., US20110105482A1, USA, 2011, p. 49pp; c) Y. Kobayashi, H. Daido, H. Katsuta, M. Nomura, H. Tsukada, A. Hirabayashi, Y. Takahashi, Y. Aoki, A. Kawahara, Y. Fukazawa, M. Hirose, Mitsui Chemicals Agro, Inc., Japan, US20110201687A1, 2011, pp. 123pp., Cont.-in-part of Appl. No. PCT/JP2009/061914; d) P. T. Anastas, M. M. Kirchhoff, Acc. Chem. Res. 2002, 35, 686-694; e) C. A. Broka, D. S. Carter, M. P. Dillon, A. P. D. W. Ford, R. C. Hawley, A. Jahangir, A. G. Moore, D. W. Parish, Roche Palo Alto LLC, US20070049609A1, USA . 2007, p. 133pp; f) C. A. Broka, D. S. Carter, M. P. Dillon, R. C. Hawley, A. Jahangir, C. J. J. Lin, D. W. Parish, Roche Palo Alto Llc, US20050209260A1, USA . 2005, p. 157 pp; g) H. Zheng, D. G. Hall, Aldrichimica Acta 2014, 47, 41-51.
2. S. J. Blanksby, G. B. Ellison, Acc. Chem. Res. 2003, 36, 255-263.
3. Handbook of Functionalized Organometallics, P. Knochel, Ed.; Wiley-VCH: Weinheim, 2004.
4. Al-Zoubi, R. M.; Al-Mughaid, H.; Al-Zoubi, M. A.; Jaradat, K. T.; McDonald, R. Eur. J. Org. Chem. 2015, 2015, 5501; R. M. Al-Zoubi, H. A. Futouh, R. McDonald, Aust. J. Chem. 2013, 66, 1570-1575; Al-Zoubi, R. M.; Al-Zoubi, M. S.; Abazid, A. H.; McDonald, R. Asian J. Org. Chem. 2015, 4, 359; Al-Zoubi, R. M.; Al-Jammal, W. K.; El-Khateeb, M. Y.; McDonald, R. Eur. J. Org. Chem. 2015, 2015, 3374; Al-Zoubi, R. M.; Al-Mughaid, H.; McDonald, R. Aust. J. Chem. 2014, 68, 912.

Halogenated anisoles and particularly iodinated motifs are ubiquitous and versatile intermediates in the synthesis of many biologically active targets and essential intermediates.[1] Due to the relatively weak nature of C-I bond;[2] it has found particular use in transition metal catalyzed coupling processes or in nucleophilic displacement reactions using organomagnesium intermediates.[3] Herein, we report the first synthesis of hitherto unknown 3,4,5-triiodoanisole in tandem one-pot C-H iodination/ipso-iododecarboxylation from para-anisic acid that is catalytic, scalable, efficient and easy to workup and purify. A potential application of the target compound as precursor for novel site-selective Metal-Iodine exchange and Suzuki-Miyaura cross-coupling reactions were also demonstrated. It provided 3,4,5-trisubstituted anisole derivatives in high regioselective, which are useful building blocks in synthesis and indeed are hard to make by any other means.[4]

References
1) N. Gernigon, R. M. Al-Zoubi, D. G. Hall, J. Org. Chem. 2012, 77, 8386-8400; S. A. Mousa, Vascular Vision Pharmaceutical Company Inc., US20110105482A1, USA, 2011, p. 49pp; c) Y. Kobayashi, H. Daido, H. Katsuta, M. Nomura, H. Tsukada, A. Hirabayashi, Y. Takahashi, Y. Aoki, A. Kawahara, Y. Fukazawa, M. Hirose, Mitsui Chemicals Agro, Inc., Japan, US20110201687A1, 2011, pp. 123pp., Cont.-in-part of Appl. No. PCT/JP2009/061914; d) P. T. Anastas, M. M. Kirchhoff, Acc. Chem. Res. 2002, 35, 686-694; e) C. A. Broka, D. S. Carter, M. P. Dillon, A. P. D. W. Ford, R. C. Hawley, A. Jahangir, A. G. Moore, D. W. Parish, Roche Palo Alto LLC, US20070049609A1, USA . 2007, p. 133pp; f) C. A. Broka, D. S. Carter, M. P. Dillon, R. C. Hawley, A. Jahangir, C. J. J. Lin, D. W. Parish, Roche Palo Alto Llc, US20050209260A1, USA . 2005, p. 157 pp; g) H. Zheng, D. G. Hall, Aldrichimica Acta 2014, 47, 41-51.

2. S. J. Blanksby, G. B. Ellison, Acc. Chem. Res. 2003, 36, 255-263.
3. Handbook of Functionalized Organometallics, P. Knochel, Ed.; Wiley-VCH: Weinheim, 2004.
4. Al-Zoubi, R. M.; Al-Mughaid, H.; Al-Zoubi, M. A.; Jaradat, K. T.; McDonald, R. Eur. J. Org. Chem. 2015, 2015, 5501; R. M. Al-Zoubi, H. A. Futouh, R. McDonald, Aust. J. Chem. 2013, 66, 1570-1575; Al-Zoubi, R. M.; Al-Zoubi, M. S.; Abazid, A. H.; McDonald, R. Asian J. Org. Chem. 2015, 4, 359; Al-Zoubi, R. M.; Al-Jammal, W. K.; El-Khateeb, M. Y.; McDonald, R. Eur. J. Org. Chem. 2015, 2015, 3374; Al-Zoubi, R. M.; Al-Mughaid, H.; McDonald, R. Aust. J. Chem. 2014, 68, 912.

Ref : 726
Title : Extended B-spline Collocation Method for KdV-Burgers Equation
Author(s) :
 Name : Ozlem Ersoy Address : Eskişehir Osmangazi University, Department of Mathematics-Computer, Odunpazarı, Eskişehir, Turkey.

 Name : Alper Korkmaz Address : Çankırı Karatekin University, Department of Mathematics, Çankırı, Turkey.

 Name : Idris Dag Address : Eskişehir Osmangazi University, Department of Computer Engineering, Odunpazarı, Eskişehir, Turkey.

Accepted : 5/4/2016 8:37:00 AM
Abstract :
The extended form of the polynomial cubic B-spline functions set spans the space that they are defined and forms a basis for the functions defined in this space. A compatible choice of the free parameter in the extended cubic B-splines may give a chance for an improved approximation in many numerical methods. The authors set up a collocation method based on the extended B-spline functions for the numerical solutions of the KdV-Burgers equation. The approximate solution of the equation is constructed with the combination of the extended B-splines. The resultant equation system is integrated with respect to the time variable by the Crank-Nicolson implicit method owing to its large stability region. Some initial boundary value problems are solved by the proposed method. The validity and accuracy of the method is demonstrated by measuring the error between the numerical solutions and the analytical solutions, if exist.

Ref : 725
Title : Approximate Solutions of Boussinesq System via Trigonometric Cubic B-splines
Author(s) :
 Name : Ozlem Ersoy Address : Eskişehir Osmangazi University, Department of Mathematics-Computer, Odunpazarı, Eskişehir, Turkey.

 Name : Alper Korkmaz Address : Çankırı Karatekin University, Department of Mathematics, Çankırı, Turkey.

 Name : Idris Dag Address : Eskişehir Osmangazi University, Department of Computer Engineering, Odunpazarı, Eskişehir, Turkey.

Accepted : 5/4/2016 8:37:00 AM
Abstract :
In the study, we construct a collocation method based on trigonometric cubic B-spline functions to solve various initial boundary value problems for the nonlinear Boussinesq system numerically. The time integration of the system is accomplished by Crank-Nicolson method while the system is discretized in space variable by trigonometric cubic B-splines. Different problems are considered covering motion of single sech-type solitary wave, collusion of two sech-type solitary waves. The results are compared with the analytical solutions when exist. The simulations are also plotted by using obtained numerical results.

Ref : 724
Title : Internet Protocol Version 6 IPv6
Author(s) :

Accepted : 5/4/2016 1:17:00 AM
Abstract :
Internet Protocol version 6 (IPv6) is the most recent version of the Internet Protocol (IP), the communications protocol that provides an identification and location system for computers on networks and routes traffic across the Internet. IPv6 was developed by the Internet Engineering Task Force (IETF) to deal with the long-anticipated problem of IPv4 address exhaustion. IPv6 is intended to replace IPv4

Every device on the Internet is assigned an IP address for identification and location definition. With the rapid growth of the Internet after commercialization in the 1990s, it became evident that far more addresses than the IPv4 address space has available were necessary to connect new devices in the future. By 1998, the Internet Engineering Task Force (IETF) had formalized the successor protocol. IPv6 uses a 128-bit address, theoretically allowing 2128, or approximately 3.4×1038 addresses. The actual number is slightly smaller, as multiple ranges are reserved for special use or completely excluded from use. The total number of possible IPv6 address is more than 7.9×1028 times as many as IPv4, which uses 32-bit addresses and provides approximately 4.3 billion addresses. The two protocols are not designed to be interoperable, complicating the transition to IPv6. However, several IPv6 transition mechanisms have been devised to permit communication between IPv4 and IPv6 hosts.

Ref : 723
Title : Analysis study of loading parameters effect on fatigue crack closure
Author(s) :
 Name : Ould Chikh El Bahri Address : LSTE Laboratory, University of mascara, BP 305 route de mamounia mascara, Algeria

Accepted : 5/3/2016 4:05:00 PM
Abstract :
A detailed analysis of the influence of several parameters on fatigue crack closure is presented, and a comprehensive experimental study of different maximum load Pmax levels influence on crack closure and on fatigue crack growth, at a different load ratio R and yield strength SY is reported. Careful measurements of crack opening loads, made to verify their influence on the crack propagation rate on compact tension specimens, show an inversely proportional relationship between the opening loads and the fatigue crack length.

Ref : 722
Title : Thermodynamic analysis of Biofuel production from waste vegetable oil via Thermochemical Process
Author(s) :
 Name : Ömer Faruk GÜL Address : Hasbahce Cd. No:88 Kağıthane İstanbul

Accepted : 5/3/2016 4:05:00 PM
Abstract :
The aim of this study is to investigate the optimum design of process configuration and operation parameters for biofuel production from waste vegetable oil by using an engineering simulation software tool Aspen HYSYS. The process has several sub systems such as gasification, gas cleaning, gas conditioning and liquefaction. The set parameters considered in the simulations are the fuel feeding capacity, gasifier temperature and H2O/CO ratio of syngas. At the gas cleaning stage, there are different gas cleaning units. Gas conditioning section consists of water gas shift reactor in order to adjust the H2/CO ratio of syngas for obtaining the stoichiometric ratio for FT process by using equilibrium reactor, and CO2 removal unit where approximately 90% of the CO2 content of the gas is removed. At the end of gas conditioning section, syngas has to be compressed to the level of FT reactor requirements which is minimum 20 bara. FT process consists of reactor itself, off gas condenser unit and off gas turbine for electricity generation. Conversion reactor model is used for FT reactions with 20 bara operation pressure and 260 °C operation temperature.

Ref : 721
Title : A Beam Equation: Wellposedness to Optimal Control
Author(s) :
 Name : Kenan YILDIRIM Address : Mus Alparslan University, Mus, Turkey

 Name : Orhan KUTLU Address : Mus Alparslan University, Mus, Turkey

Accepted : 5/3/2016 4:05:00 PM
Abstract :
In this paper, some results, which are related to well posedness, controllability and optimal control of a beam equation, are presented. In order to obtain the optimal control function, maximum principle is employed. Performance index function is defined as
quadratic functional of displacement and velocity and also includes a penalty in terms of control function. The solution of the control problem is formulated by using Galerkin expansion. Obtained results are given in the table and graphical forms.

Ref : 720
Title : Topological covering morphisms of internal groupoids in topological groups with operations
Author(s) :
 Name : Hürmet Fulya Akız Address : Bozok University, Department of Mathematics

Accepted : 5/3/2016 4:05:00 PM
Abstract :

The theory of covering groupoids plays an important role in the applications of groupoids [5,12].

A groupoid is a (small) category in which each morphism is an isomorphism [5]. A topological groupoid is a groupoid such that the set G of morphisms and the set Ob(G) of objects are topological spaces; and source, target, inclusion, inverse and product maps are continuous [8,9,16].

In [9] it was proved that for a topological groupoid G, the category of topological groupoid coverings over G and the category of topological actions of G on topological spaces are equivalent. It was proved in [3] that if G is a group-groupoid, then the category of group-groupoid covers of G is equivalent to the category of group-groupoid actions of G on groups.

In this paper we deal with the topological version of this equivalence in terms of topological internal groupoids which are internal groupoids in the category of topological groups with operations and prove that for a topological internal groupoid G, the category of covering morphisms of G is equivalent to the category of actions of G on topological groups with operations. Finally we give a classification of the covering morphisms of topological internal groupoids.

References

[1] Akız, H. F., Alemdar, A., Mucuk, O. and Şahan, T., Coverings of internal groupoids and crossed modules in the category of groups with operations, Georgian Math. Journal, 20-2 (2013) 223-238.

[2] Alemdar, N. and Mucuk, O, The liftings of R-modules to covering groupoids, Hacettepe Journal of Mathematics and Statistics, 41 (6), (2012) 813-822.

[3] Baez, J. C. and Lauda, A. D. Higher-dimensional algebra. V. 2-groups. Theory Appl. Categ. 12 (2004) 423-491 (electronic).

[4] F. Borceux and Maria Manuel Clementino, Topological semi-abelian algebras, Advances in Mathematics 190 (2005) 425-453.

[5] Brown, R., Topology and groupoids, Booksurge PLC, 2006.

[6] Brown, R. and Mucuk, O., Covering groups of non-connected topological groups revisited, Math. Proc. Camb. Phill. Soc., 115 (1994) 97-110.

[7] Brown, R. and Spencer C. B., G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Konn. Ned. Akad. v. Wet., 79 (1976) 296-302.

[8] Brown R. and Hardy J. P. L., Topological Groupoids I: Universal Constructions, Math. Nachr., 71 (1976) 273-286.

[9] Brown R., Danesh-Naruie, G. and Hardy J. P. L., Topological groupoids II: Covering morphisms and G-spaces, Math. Nachr., 74 (1976) 143-156.

[10] Brown R., Danesh-Naruie, G. , The Fundamental Groupoid as a Topological Groupoid, Proc. Edinb. Math. Soc., Vol. 19, (series 2), Part 3, 237-244. 1975.

[11] Datuashvili, T., Categorical, homological and homotopical properties of algebraic objects., Dissertation, Georgian Academy of Science, Tbilisi, 2006.

[12] Higgins, P.J., Groups with multiple operators, Proc. London Math. Soc., (3) 6 (1956) 366-416.

[13] Janelidze,G., L. Marki and W. Tholen, Semi-abelian categories, Category theory 1999 (Coimbra). J. Pure Appl. Algebra, 168 (2002) 367-386.

[14] Higgins, P.J., Categories and groupoids, Van Nostrand, New York, 1971; Reprints in Theory and Applications of Categories, No. 7 (2005) pp 1-195.

[15] İçen, İ., Özcan, A.F. and Gürsoy, M.H., Topological Group-groupoids and Their Coverings, Indian J. Pure Appl. Math., 36(9) (2005) 493-502.

[16] Mackenzie, K.C.H., Lie groupoids and Lie algebroids in differential geometry, London Math. Soc. Lecture Note Series 124, Cambridge University Press, 1987.

[17] Mucuk, O. and Şahan, T., Coverings and crossed modules of topological groups with operations, Turkish Journal of Mathematics, 38 (2014) 833-845

[18] Mucuk, O. and Akız, H.F., Monodromy groupoids of an internal groupoid in topological groups with operations, Filomat, 29 (10) (2015), 2355{2366.

[19] Mucuk, O., Kılıçarslan, B., Şahan, T. and Alemdar N. Group-groupoid and monodromy groupoid, Topology and its Applications, 158 (2011) 2034-2042.

[20] Mucuk O., Coverings and ring-groupoids, Geor. Math. J., 5 (1998) 475-482

[21] Mucuk, O. and Özdemir, M., A monodromy principle for topological rings, Indian J. Pure Appl. Math., 31-12 December (2000) 1531-1535.

[22] Mucuk, O., Şahan, T. and N. Alemdar, Normality and quotients in crossed modules and group-groupoids, Applied Categorical Structures, 23-3 (2015) 415-428

[23] Porter, T., Extensions, crossed modules and internal categories in categories of groups with operations, Proc. Edinb. Math. Soc., 30 (1987) 373-381.

[24] Orzech, G., Obstruction theory in algebraic categories I and II, J. Pure. Appl. Algebra, 2 (1972) 287-314 and 315-340.

[25] Özcan, A. F., Actions and coverings of topological groupoids, Mathematical Sciences And Applications, E-Notes Volume 1 No. 2 pp. 72-83 (2013).

[26] Raikov, D. A., Semiabelian categories, Dokl. Akad. Nauk SSSR 188(1969), 1006-1009; English translation in Soviet Math. Dokl., 1969.V. 10. pp. 1242-1245.

[27] Van der Linden, T., Homology and homotopy in semi-abelian categories, PhD Thesis, Vrije Universiteit Brussel, 2006.

Ref : 719
Title : NUMERICAL MODELING OF LAMINAR NATURAL CONVECTION HEAT TRANSFER IN TILTED RECTANGULAR ENCLOSURE
Author(s) :
 Name : Rida ZARRIT Address : 1-Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables,CDER, 47133, Ghardaïa, Algeria 2-Physics Laboratory at Guelma, University of 08 may 45, P.O. Box 401,Guelma 24000, Algeria

 Name : Mohamed Seghir Boumaza Address : Physics Laboratory at Guelma, University of 08 may 45, P.O. Box 401,Guelma 24000, Algeria

 Name : Sofiane Kherrour Address : Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables,CDER, 47133, Ghardaïa, Algeria

 Name : Bachir Dadda Address : Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables,CDER, 47133, Ghardaïa, Algeria

Accepted : 5/3/2016 4:05:00 PM
Abstract :
Abstract:
This work is a 2D numerical study of the influence of the enclosure aspect ratio, the angle of inclination of the enclosure and Rayleigh number on laminar natural convection heat transfer in an air-filled differentially heated enclosure. Using the finite difference method, a computational code worked out to solve the system of the stream function-vorticity-energy transfer governing equations. In this study Simulations are performed using the Rayleigh number (103 ≤ Ra ≤ 5×105), the angle of inclination θ measured from the horizontal (0° ≤ θ ≤180°) and the aspect ratio of the enclosure (height/width) was varied between 1 and 10 as independent variables. The Prandtl numbers were kept constant (air: Pr = 0.71). It is found that the tilting angle of enclosure, aspect ratio and Rayleigh number has strong effect on the flow development and heat transfer performance across the cavity. On the basis of the results obtained, a set of dimensionless correlations of Nusselt number is developed in terms of the Rayleigh number the angle of inclination and the cavity aspect ratio.
Keywords: Natural convection, laminar, heat transfer, Nusselt number, aspect ratios, inclination, Correlations.

Ref : 718
Title : Carbon Emission Reduction in Brick Kilns
Author(s) :
 Name : Mohsin Rashid Address : Institute of Quality and Technology Management, University of the Punjab, Lahore. Pakistan 54590

Accepted : 5/3/2016 2:35:00 AM
Abstract :
In order to mitigate climate change, deep reductions in CO2 emissions will be required in the coming decades. Coal and wood are commonly employed in the manufacturing of bricks in Pakistan. The carbon emissions from brick kilns must be controlled for a cleaner environment. The design of a new overall electronic control system forwarded at two brick kilns coupled through a tunnel system is developed in order to obtain good energy efficiency, less fuel consumption and less pollutant emissions to the atmosphere. The usefulness of coupling two kilns, will reduce burning time and pollution by 30% resulting in a uniform product with color and mechanical resistance. Statistical data of flue gases of a brick furnace has been identified for the removal of carbon dioxide before it enters the environment. This development achieves considerable pollution control and is an important step towards sustainability.

Ref : 717
Title : Initial Time Difference Stability of Perturbed Set Differential Equations Related to Unperturbed Set Differential Equations
Author(s) :
 Name : Betül ÖZBAY Address : Kırklareli University Faculty of Sciences and Arts Department of Mathematics Kavaklı-Kırklareli 39000 TURKEY

Accepted : 5/2/2016 12:00:00 PM
Abstract :
We investigate the qualitative behavior of a perturbed set differential equation that differs in initial position and initial time with respect to the unperturbed set differential equation. We compare the classical notion of stability criteria to the notion of initial time difference stability criteria of set differential systems. We present some comparison results.

Key Words: set differential equations, perturbed differential systems, initial time difference, stability, comparison results.

Ref : 716
Title : NUMERICAL MODELING OF LAMINAR NATURAL CONVECTION HEAT TRANSFER IN TILTED RECTANGULAR ENCLOSURE
Author(s) :
 Name : Rida ZARRIT Address : Unité de Recherche Appliquée en Energies Renouvelables, URAER, Centre de Développement des Energies Renouvelables,CDER, 47133, Ghardaïa, Algeria

Accepted : 5/2/2016 12:00:00 PM
Abstract :
This work is a 2D numerical study of the influence of the enclosure aspect ratio, the angle of inclination of the enclosure and Rayleigh number on laminar natural convection heat transfer in an air-filled differentially heated enclosure. Using the finite difference method, a computational code worked out to solve the system of the stream function-vorticity-energy transfer governing equations. In this study Simulations are performed using the Rayleigh number (103 ≤ Ra ≤ 5×105), the angle of inclination θ measured from the horizontal (0° ≤ θ ≤180°) and the aspect ratio of the enclosure (height/width) was varied between 1 and 10 as independent variables. The Prandtl numbers were kept constant (air: Pr = 0.71). It is found that the tilting angle of enclosure, aspect ratio and Rayleigh number has strong effect on the flow development and heat transfer performance across the cavity. On the basis of the results obtained, a set of dimensionless correlations of Nusselt number is developed in terms of the Rayleigh number the angle of inclination and the cavity aspect ratio.

Ref : 715
Title : The Numerical Solutions of Fractional Van der Pol Equation by the aid of Non-uniform Haar Wavelets
Author(s) :
 Name : Hakan Adiguzel Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Mustafa Bayram Address : Department of Healthcare Management, Uskudar university, Istanbul, Turkey

 Name : Aydin Secer Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

Accepted : 5/2/2016 5:07:00 AM
Abstract :
Haar wavelets have been applied extensively for signal processing in communications and physics research, and more mathematically focused on differential equations and even nonlinear problems.
The Haar wavelets are effective method for solving differential and integral equations. But, this approach has some limitations. Therefore, we consider non-uniform Haar wavelets. In this study, we investigated numerical solutions of nonlinear Van der Pol equation based on non- uniform Haar wavelets.

Keywords: Haar wavelet, non-uniform Haar wavelet, Van der Pol equation, Fractional derivative

References

[1] C.F. Chen, C.H. Hsiao, Haar wavelet method for solving lumped and distributed parameter-systems, IEE Proc. Control Theory Appl. 144 (1) (1997) 87–94.
[2] F. Dubeau, S. Elmejdani, R. Ksantini, Non-uniform Haar wavelets, Appl. Math. Comput. 159 (2004) 675–693.
[3] Ü. Lepik, Solving integral and differential equations by the aid of non-uniform Haar wavelets. Appl. Math. Comput., 198 (1) (2008) 326-332.
[4] Ü. Lepik, Solving fractional integral equations by the Haar wavelet method, Appl. Math. Comput. 214 (2009) 468–478.

Ref : 714
Title : On the Generalized Maximum Likelihood: Score Functions and their Application on Bimodality
Author(s) :
 Name : Mehmet Niyazi ÇANKAYA Address : Uşak University, Faculty of Art and Science, Department of Statistics, Uşak, Turkey

Accepted : 5/1/2016 2:48:00 PM
Abstract :
Maximum likelihood estimation method for the parameters of the distribution is generally used. Godambe (1960) is the forerunner of the estimating equation defined to be the generalized maximum likelihood estimation for the parameters. In this study, we get the different score functions for the distributions, such as an exponential power distribution, a generalized bimodal gamma distribution on $\mathbf{R}$ and the exponential distribution families. It is observed that the derivative of log likelihood function (LLF) with respect to parameters and the derivative of LLF with respect the argument of LLF produce the same score function due to the definition of estimating equation. The location, regression and scale parameters are estimated via using the proposed score functions. The bimodal score functions for the estimates of location and scale parameters are also derived.

Keywords: Bimodality, Estimating equations, Score functions

Ref : 713
Title : Applications of Variational Iteration Method for Solving A Class of Nonlinear Integral Equations
Author(s) :
 Name : Mohammed Sahib Mechee Address : Kufa university-Iraq

Accepted : 5/1/2016 2:50:00 PM
Abstract :
In this paper, one type of Volterra Integral Equations (VIEs) is classified to be nth-order VIE of fourth-kind. This class of nth-order VIE usually occurs in many fields of physics and engineering. The nth-order VIE of fourth-kind is converted to nth-order ordinary differential equations (ODEs). The ODE is then solved using variational iteration method (VIM). A new iteration technique is proposed to solve a class of nonlinear integral equations. It shows that the variational iteration method (VIM) is e±cient and powerful tool for dealing with this class of nonlinear integral equations. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method. The comparison of the results of VIM with those obtained by classical method reveals that VIM is very effective, convenient and quite accurate to both linear and nonlinear problems. It is predicted that VIM can be widely applied in engineering.

Ref : 712
Title : Conformable Fractional Reduced Differential Transform Method for PDEs
Author(s) :
 Name : Muammer AYATA Address : Department of Mathematics, Science Faculty, Selcuk University, Konya 42003, Turkey

 Name : Omer FIRAT Address : Department of Mathematics, Faculty of Arts and Science, Kilis 7 Aralik University, Kilis,Turkey

 Name : Omer ACAN Address : Department of Mathematics, Faculty of Arts and Science, Siirt University, Siirt, Turkey

 Name : Yildiray KESKIN Address : Department of Mathematics, Science Faculty, Selcuk University, Konya 42003, Turkey

Accepted : 4/30/2016 3:30:00 PM
Abstract :
In this presentation we introduce conformable fractional reduced differential transform method (CFRDTM). This method is a new version of known reduced differential transformation method (RDTM) based on conformable fractional derivative to solve linear and nonlinear fractional partial differential equations (PDEs). First,some basic definitions and theorems of CFRDTM are presented. Second,the general algorithm for this method to solve linear and nonlinear fractional PDEs is given. And then to better understand, the presented new method is supported by two numerical examples. Finally, the results obtained are illustrated by the aid of graphics and the tables. The applications show that this new technique CFRDTM is reliable and introduces a significant improvement in solving linear and nonlinear fractional PDEs.

References:

[1]R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014) 65-70.
[2]T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57-66.
[3]E. Ünal, A. Gödogan, Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method, arXiv Prepr. 1602.05605 (2016) 1-14.
[4]O. Acan, O. Firat, Y. Keskin, G. Oturanc, Solution of Conformable Fractional Partial Differential Equations by Reduced Differential Transform Method, Selcuk J. Appl. Math. (2016) (In press).
[5]O. Acan, O. Firat, A. Kurnaz, Y. Keskin, Applications for New Technique Conformable Fractional Reduced Differential Transform Method, J. Comput. Theor. Nanosci. (2016) (Accepted).
[6]Y. Keskin, Solving Partial Differantial Equations By The Reduced Differantial Transform Method, Selcuk University, Turkey, 2010.
[7]Y. Keskin, G. Oturanc, The reduced differential transform method: a new approach to factional partial differential equations, Nonlinear Sci. Lett. A. 1 (2010) 61-72.
[8]Y. Keskin, G. Oturanç, Reduced Differential Transform Method for Generalized KdV Equations, Math. Comput. Appl. 15 (2010) 382-393.
[9]O. Acan, Y. Keskin, A Comparative Study of Numerical Methods for Solving (n+1) Dimensional and Third-Order Partial Differential Equations, J. Comput. Theor. Nanosci. (2016) (Accepted).
[10]O. Acan, Y. Keskin, Approximate solution of Kuramoto–Sivashinsky equation using reduced differential transform method, en: 12 Th Int. Conf. Numer. Anal. Appl. Math., AIP Publishing, 2015: p. 470003. doi:10.1063/1.4912680.

Ref : 711
Title : Neurotoxicity of pesticides residues: Modeling using artificial neural networks
Author(s) :
 Name : Khanchouche Abdelhalim Address : Faculty of Natural Science and life, UFAS Setif 1 University, Algeria

 Name : Bouharati Khaoula Address : Faculty of Medicine, UFAS Setif 1 University, Algeria

 Name : Allag Fateh Address : Faculty of Natural Science and life, UFAS Setif 1 University, Algeria

 Name : Bouharati Saddek Address : Faculty of Natural Science and life, UFAS Setif 1 University, Algeria

 Name : Benzidane Chahrazed Address : Faculty of Natural Science and life, UFAS Setif 1 University, Algeria

Accepted : 4/30/2016 3:29:00 PM
Abstract :
Abstract. Insecticides kill insects that targeting the nervous system have a neurotoxic effect in mammals as well. This family of chemicals includes organophosphates, carbonates, and other compounds. Insecticides interfere with neurotransmission channels or chemical ions, and generally reversible cause neurotoxic effects, which could still be deadly. The effects of pesticides on the human nervous system may be involved in acute toxicity, as in the case of most insecticides, or may contribute to chronic neurodegenerative diseases, including Parkinsons disease. However, several other factors may be involved in the development or amplification of the neurodegenerative disorders such as age, sex, diet, genetic predisposition and even see the climatic conditions of the study area. In this study we propose the analysis of these factors by artificial intelligence techniques such as artificial neural networks. Weights are assigned automatically adjusted to establish a preventive model.

Key words: Pesticides, Neurotoxicity, Artificial neural networks.

Ref : 710
Title : CANCER INCIDENCE AND GROUNDWATER CONTAMINATION BY PESTICIDES: ANALYSIS USING FUZZY INFERENCE SYSTEM
Author(s) :
 Name : Bouharati Saddek Address : Faculty of Natural Science and Life, UFAS Setif 1 University, Algeria

 Name : Bouharati Khaoula Address : Faculty of Medicine, UFAS Setif 1 University, Algeria

 Name : Benzidane Chahrazed Address : Faculty of Natural Science and Life, UFAS Setif 1 University, Algeria

 Name : Allag Fateh Address : Faculty of Natural Science and Life, UFAS Setif 1 University, Algeria

Accepted : 4/30/2016 3:29:00 PM
Abstract :
Groundwater consumption of the inhabitants of agricultural areas is characterized by pesticides contamination and various harmful chemicals produced human health. The runoffs of rainwater through the underground layers induce toxic residues in groundwater infiltration. The soil, the thickness, the nature of toxic products, the quantity of infiltrated water ... etc., and their effects on human health are uncertain parameters, complicated and imprecise. In this study, we propose a model based on the techniques of artificial intelligence including the principles of fuzzy logic in the analysis of such data. In addition to other factors involved in the process and are poorly understood or completely unknown. We are then into focus, which justifies the application of a fuzzy system in the data analysis. Based on field data, we established a predictive model relating the input parameters to their effect on public health as the system output variable. The nature of the pesticide used, the dose, the type of soil, rainfall, are considered as input variables of system. Diseases identified in the local population are considered as output variable. This is then to connect the two input- output spaces through a database compiled from recorded data. This allows acting upstream on the quality and quantity of pesticides and chemicals used in agriculture in order to preserve public health of the inhabitants of these areas.

Key words: Groundwater, pesticides, public health, fuzzy logic

Ref : 709
Title : Fuzzy logic inference system analysis in pharmaco-vigilance
Author(s) :
 Name : Allag Fateh Address : Faculty of Natural Sciences and Life. UFAS Setif1 University, Algeria

 Name : Zegadi Rabah Address : Optic and mechanic precision institute, Setif1 University, Algeria

 Name : Bouharati Khaoula Address : Faculty of Medicine, UFAS Setif1 University, Algeria

 Name : Bouharati Oussama Address : University of Reims, France

 Name : Bouharati Saddek Address : Faculty of Natural Sciences and Life. UFAS Setif1 University, Algeria

Accepted : 4/30/2016 3:29:00 PM
Abstract :
As pharmaco-vigilance can track adverse effects of a drug in a population; the study subjects are characterized by complexity. Whatever the quality of the studies prior to the marketing of a new drug, they do not allow to ascertain its safety. At the time of marketing, the drug receives only partial data from experimental studies in animals and clinical studies with a limited number of highly selected patients and for short periods in time. Also the reaction of individuals to the drug varies from one person to another. The process is far from an exact science. We found it useful to analyze these parameters forming study groups all subjects one or more common characteristics using the techniques of artificial intelligence including the principles of fuzzy logic inference systems. In this work, we found it useful to use techniques of artificial intelligence in their data analysis. The use of the FIS model, demonstrate his capability for addressing the complex problems of uncertainty data.
Keywords- Pharmaco-vigilance, drug effects, artificial intelligence, fuzzy logic

Ref : 708
Author(s) :
 Name : Benmeriem Khaled Address : University of Mascara, Algeria

Accepted : 4/29/2016 12:40:00 AM
Abstract :
he theory of generalized functions initiated by J.F.Colombeau in connection with the problem of multiplication of Schwartz distributions, has been developed and applied in nonlinear and linear partial differential equations with non-smooth coefficients and distribution data. Regularity of its elements is characterized with the aid of Oberguggenberger subalgebra, and many result on wave front sets and propagation of singularities.
In view of the importance of ultradistributions in the theory of partial differential equations as well as in applied problem is well known, so it is an important issue to provide differential algebras of generalized function containing Roumieu ultradistributions spaces and their microlocal analysis suitable for them.

Ref : 707
Title : The Solutions of Multiplicative Hermite Differential Equation and Multiplicative Hermite Polynomials
Author(s) :
 Name : Numan YALÇIN Address : Department of Mathematical Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey

 Name : Emrah ÜNAL Address : Department of Elementary Mathematics Education, Artvin Çoruh University, 08100 Artvin, Turkey

Accepted : 4/28/2016 12:29:00 PM
Abstract :

Abstract
In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of order 2. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic properties of these polynomials.

Keywords: Multiplicative differential equation, Multiplicative ordinary point, Multiplicative Hermite differential equation, Multiplicative Hermite polynomials

Ref : 706
Title : Numerical Solution of Time Fractional Schrodinger Equation
Author(s) :
 Name : Orkun Tasbozan Address : Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Hatay, 31000, TURKEY

 Name : Alaattin Esen Address : Department of Mathematics, Faculty of Science and Art, Inonu University, Malatya, 44280, TURKEY

Accepted : 4/28/2016 12:29:00 PM
Abstract :
In this study, Galerkin method has been employed to solve the time fractional order Schrodinger equation. Numerical solutions and error norms are presented in tables. Absolute error graphics which comperes those of exact and numerical solutions are given.

Ref : 705
Title : An adaptive NSCT Transform for Reduction of the Speckle Noise in SAR images
Author(s) :

Accepted : 4/28/2016 12:30:00 PM
Abstract :

The speckle corrupted image is a traditional problem in synthetic aperture processing applications, including synthetic aperture radar (SAR). SAR images are usually contaminated by speckle noise due to random interference of electromagnetic waves. Due to its granular appearance in an image, speckle noise makes it very difficult to visually and automatically interpret SAR data. Therefore, speckle filtering is a critical preprocessing step for many SAR image-processing tasks, such as segmentation and classification. In this paper we present different thresholding methods combined with multiscale geometric analysis tool (wavelets, contourlets, NSCT), and a new algorithm combines the NSCT transform and an adaptive tresholding method. Experimental results show that compared with conventional wavelet, and contourlet despeckling algorithm, the proposed algorithm can achieve better speckle suppression results, and the significant information of original image like textures and contour details is well maintained.

Ref : 704
Title : Initial Time Difference Stability of Perturbed Set Differential Equations Related to Unperturbed Set Differential Equations
Author(s) :
 Name : Coşkun YAKAR Address : Gebze Technical University Faculty of Sciences Department of Mathematics Gebze-Kocaeli 141-41400 TURKEY

Accepted : 4/28/2016 12:30:00 PM
Abstract :
We investigate the qualitative behavior of a perturbed set differential equation that differs in initial position and initial time with respect to the unperturbed set differential equation. We compare the classical notion of stability criteria to the notion of initial time difference stability criteria of set differential systems. We present some comparison results.

Key Words: set differential equations, perturbed differential systems, initial time difference, stability, comparison results.
AMS(MOS) subject classification: 34D10, 34D99.

Ref : 703
Title : Related Dynkin games for doubly reflected BSDEs under weak assumptions
Author(s) :
 Name : imen hassairi Address : Faculté des Sciences de Sfax, route soukra BP1171 Sfax, Tunisie

Accepted : 4/28/2016 12:30:00 PM
Abstract :
We take the results of existence and uniqueness of the solution for doubly reflected backward stochastic differential equations (BSDEs in short) proved recently by Hassairi, we study its connection with Dynkin games problem under very weak assumptions. We show in the present paper that this differential game have a value function and a saddle point.

Ref : 702
Title : AN OPTIMAL EXTENDED KALMAN FILTER FOR THE ROTOR FAULT DIAGNOSIS OF AN INDUCTION MOTOR DRIVE
Author(s) :
 Name : LAAMARI Yahia Address : GE Laboratory, Msila University

 Name : ALLAOUI Samia Address : Electronics Department, Faculty of Technology, Batna University

 Name : CHAFAA Kheireddine Address : Electronics Department, Faculty of Technology, Batna University

 Name : ATHAMENA Belkacem Address : Al Ain University of Science and Technology, UAE

Accepted : 4/28/2016 12:30:00 PM
Abstract :
This paper presents a model-based rotor fault detection approach for an induction motor drive (IM) where an optimal extended Kalman (EKF) filter is utilized as a state and parameters estimation tool. The detection of broken bars in squirrel cage induction motors is based on rotor parameter value estimation from stator current and voltage processing. Therefore, to ensure optimal and accurate parameter estimation with EKF, a particle swarm optimization algorithm (PSO) is used to obtain the best values of the state and measurement noise covariance matrices. The rotor resistance will be increase immediately and providing two values before and after bar breakage. The hypothesis on which the detection is based is that events are detected by comparison between the estimated and referential values of the model, which allow us to establish fault indicators. Computer simulations are carried out for a squirrel cage induction motor and it is observed from the results that the parameter estimates converges to true values with a reasonable degree of accuracy.

Ref : 701
Title : AN OPTIMAL EXTENDED KALMAN FILTER FOR THE ROTOR FAULT DIAGNOSIS OF AN INDUCTION MOTOR DRIVE
Author(s) :
 Name : LAAMARI Yahia Address : Electrical Engineering Laboratory, University of Med Boudiaf M’Sila

Accepted : 4/28/2016 12:30:00 PM
Abstract :
This paper presents a model-based rotor fault detection approach for an induction motor drive (IM) where an optimal extended Kalman (EKF) filter is utilized as a state and parameters estimation tool. The detection of broken bars in squirrel cage induction motors is based on rotor parameter value estimation from stator current and voltage processing. Therefore, to ensure optimal and accurate parameter estimation with EKF, a particle swarm optimization algorithm (PSO) is used to obtain the best values of the state and measurement noise covariance matrices. The rotor resistance will be increase immediately and providing two values before and after bar breakage. The hypothesis on which the detection is based is that events are detected by comparison between the estimated and referential values of the model, which allow us to establish fault indicators. Computer simulations are carried out for a squirrel cage induction motor and it is observed from the results that the parameter estimates converges to true values with a reasonable degree of accuracy.

Ref : 700
Title : REALIZATION OF A NEW ELECTROCUTION INSECT TRAP SYSTEM (KAHRATRAP II)
Author(s) :
 Name : BENMIMOUN Youcef Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : MILOUDI Kaddour Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : BEKKARA Mohamed Fethi Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : KHERBOUCHE Fouad Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : KADALLAH Faycal Address : LIPLFS Research Laboratory, Mascara University, Algeria

Accepted : 4/27/2016 12:39:00 PM
Abstract :
For half a century, protecting crops against harmful insects attaches increasing importance to the struggle concept, this was due to the need to renew the defense strategies against harmful insects respecting a healthy environment and responding to the laws of market and the society needs.
Face of this circumstances, we chose an electric device solution based on a unit catches insect with high voltage electrical discharge which was directed by the senior author of this article, called "KAHRATRAP". It was used in an experimental study in a vegetable field. Atmospheric parameters such as temperature and wind speed are important factors having a significant influence on the insect’s collection.
The aim of this work is firstly to determine the optimal color of light emitted by the device lamps that can capture the maximum of insects, and also to analyze the influence of the climate parameters (temperature and speed of the wind) on the efficiency of the apparatus. The results obtained allowed to recommend one of the colors used and show the influence of climatic conditions.
Despite this, we encountered some small obstacles, therefore, we have improved the prototype designing a new harmful insect electrocution system baptized «KAHRATRAP II."
In this framework, we carried out a new high voltage generator 12Volts / 17Kilovolts to introduce photovoltaic panels and the LEDs for economize electrical energy.

Keywords: high voltage, electric discharge, protection, harmful insects, light, color, photovoltaic panels, LEDs

Ref : 699
Title : REALIZATION OF A NEW ELECTROCUTION INSECT TRAP SYSTEM (KAHRATRAP II)
Author(s) :
 Name : BENMIMOUN Youcef Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : MILOUDI Kaddour Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : BEKKARA Mohamed Fethi Address : LSTE Research Laboratory, Mascara University, Algeria

 Name : KHERBOUCHE Fouad Address : LSTE Research Laboratory, Mascara University, Algeria

Accepted : 4/27/2016 12:40:00 PM
Abstract :
For half a century, protecting crops against harmful insects attaches increasing importance to the struggle concept, this was due to the need to renew the defense strategies against harmful insects respecting a healthy environment and responding to the laws of market and the society needs.
Face of this circumstances, we chose an electric device solution based on a unit catches insect with high voltage electrical discharge which was directed by the senior author of this article, called "KAHRATRAP". It was used in an experimental study in a vegetable field. Atmospheric parameters such as temperature and wind speed are important factors having a significant influence on the insect’s collection.
The aim of this work is firstly to determine the optimal color of light emitted by the device lamps that can capture the maximum of insects, and also to analyze the influence of the climate parameters (temperature and speed of the wind) on the efficiency of the apparatus. The results obtained allowed to recommend one of the colors used and show the influence of climatic conditions.
Despite this, we encountered some small obstacles, therefore, we have improved the prototype designing a new harmful insect electrocution system baptized «KAHRATRAP II."
In this framework, we carried out a new high voltage generator 12Volts / 17Kilovolts to introduce photovoltaic panels and the LEDs for economize electrical energy.

Keywords: high voltage, electric discharge, protection, harmful insects, light, color, photovoltaic panels, LEDs

Ref : 698
Title : A Green Approach for Formation of Silver Nanoparticles on Magnetic Graphene Oxide and Highly Effective Antimicrobial Activity and Reusability
Author(s) :
 Name : Ismail Ocsoy Address : Erciyes University, Faculty of Pharmacy

 Name : Maide Temiza Address : Erciyes University, Faculty of Pharmacy

 Name : Cevahir Altinkaynak Address : Erciyes University, Faculty of Pharmacy

 Name : Berrak Altinsoy Address : Erciyes University, Faculty of Pharmacy

 Name : Fatih Duman Address : Erciyes University, Faculty of Science, Department of Chemistry

Accepted : 4/27/2016 12:40:00 PM
Abstract :
We report the a green approach for the synthesis of silver nanoparticles (Ag NPs) decorated magnetic graphene oxide nanocomposites (Ag@MGO NCs), which showed highly effective inhibitory property and reusability even at the very low concentration (12.5 ppm) towards Staphylococcus aureus (Gram+), Escherichia coli (Gram-) bacteria and Candida albicans(fungus). It is worthy to mention that each component, such as GO, triethylene glycol (TREG) and Matricaria chamomilla (M. chamomile) plant extract (20 % w/v), used for the synthesis of Ag@MGO NCs is safe and biocompatible. Althoguh GO showed no significant inhibitory property , M. chamomile directed Ag NP on MGO NCs exhibited highly enhanced superior inhibitory activity.

Ref : 697
Title : ENHANCED TRANSITION PATH SAMPLING USING SWARM PARTICLE INTELLIGENCE IN REPLICA EXCHANGE MOLECULAR DYNAMICS
Author(s) :
 Name : Hiqmet Kamberaj Address : Faculty of Engineering, Department of Computer Engineering, International Balkan University, Tashko Karadza 11A, 1000 Skopje

Accepted : 4/27/2016 12:40:00 PM
Abstract :
The function of biomolecular systems is largely determined by their dynamics. These dynamics involve transitions between various conformational states. Molecular Dynamics (MD) computer simulations can provide detailed insights into these dynamics, but the long-time nature of these transitions severely complicate this approach. In this work, I will present some recently developed enhanced sampling techniques for the simulation of conformational changes using atomistic and/or coarse grained models. Then, I will present a new method for enhancing the transition path sampling by combining the standard temperature replica exchange molecular dynamics simulations with swarm particle social intelligence approach. I will illustrate the application of this new method to different benchmark systems including the folding and unfolding of proteins using coarse-grained models.

Ref : 696
Title : Numerical Investigation of laminar Two-Phase Flow Model for Nanofluids in a Constant Heat Flux Wavy Pipes
Author(s) :
 Name : layth Al-Gebory Address : Ozyegin University,Istanbul/Turkey (Ph.D. Student)

Accepted : 4/26/2016 5:41:00 PM
Abstract :
In this study, numerical investigation will be carried out for the laminar convective heat transfer for water based TiO2 nanofluid flow through a wavy pipe subjected to constant heat flux. The numerical model is a two-phase flow model which is one of the accurate methods for the observation of the interaction between the dispersed nanoparticles and the base fluid. The Reynolds number in the laminar range, different particles loading in the flow will be examined. Flow parameters such as Friction factor and pressure drop along the wavy pipe will be investigated. Also, the thermal performance will be examined in the terms of average Nusselt number and average heat transfer coefficient. The results will show the effect of using the wavy pipe on the flow parameters and thermal performance. Also, it can be observed the significant effect of the nanoparticles on the heat transfer enhancement. However, the required pumping power required should be taking into the consideration. The obtained results will be compaired with others from previous research.

Ref : 695
Title : A model of transverse vibrations of an inhomogeneous micro beam with a general thermal effect and external damping
Author(s) :
 Name : Octavio Paulo Vera Villagran Address : Departamento de Matematica, Facultas de Ciencias, Universidad del Bio-Bio, Concepcion, Chile

Accepted : 4/26/2016 5:42:00 PM
Abstract :
We consider an inhomogeneous Euler-Bernoulli beam of length $L$ clamped at both ends and subject to: an external damping, a Kelvin-Voigt damping, and thermal effect. We prove the
well-posedness of the above model and analyze the behaviour of the
solution as $t \rightarrow + \infty.$ The existence of solutions are
proved using semigroup theory, and the stabilization of solutions
are obtained by considering multiplier techniques

Ref : 694
Title : DYNAMIC EVOLUTION OF DAMAGE AND FRICTION IN ELECTRO-VISCOELASTIC MATERIALS
Author(s) :
 Name : Azeb Ahmed Abdelaziz Address : University of El Oued, El Oued 39000, Algeria

Accepted : 4/26/2016 12:07:00 PM
Abstract :
We consider a dynamic frictional contact problem between a piezoelectric body and an obstacle. The contact is bilateral, and the friction is modeled with Trescas friction law. The materials behavior is described by a nonlinear electro-viscoelastic constitutive law with damage. We derive a variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, and the damage field. Then we provide the existence of a unique weak solution to the model. The proofs are based on the classical result of nonlinear first order evolution inequalities, the equations with monotone operators and the fixed point arguments.

Ref : 693
Title : Effect of TiO2 nanoparticles dispersed in different base fluids on the heat transfer
Author(s) :
 Name : KARIMA BOUKERMA Address : Department of technology. Faculty of technology, University of 20 Août 1955 Skikda, B P 26, route EL-Hadaik, 2100 Skikda, Algeria

Accepted : 4/26/2016 12:07:00 PM
Abstract :
In this work, a numerical study has been performed by using single phase method on the convective heat transfer of TiO2/water and TiO2/Ethylene Glycol (EG) nanofluids flowing through a square microchannel under the laminar flow conditions (nanofluids are liquid suspensions of nano-sized particles).
The effects of nanoparticles concentrations and base fluids are investigated on the flow and the convective heat transfer behaviour.
The results obtained by the FLUENT software show that the presence of nanoparticles in the base fluid results in a considerable increase of heat transfer. Heat transfer coefficient increases by increasing the concentration of nanoparticles in nanofluid. The TiO2/Ethylene Glycol nanofluid has the highest heat transfer than TiO2/water nanofluid.

Ref : 692
Title : Probabilistic Artificial Neural Networks based modeling for water treatment processes by means of nanoparticle
Author(s) :

 Name : Dumitru Baleanu Address : Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey

Accepted : 4/26/2016 12:07:00 PM
Abstract :
In this research a probabilistic artificial neural network model (PANN) was developed to predict the removal of malachite green (MG) in the presence of magnesium manganese oxide prepared nanoparticle. For preparation this nanoparticle by sol-gel method zinc acetate and tetra n-butyl ortho-titanate were used respectively, and stearic acid as a complexing agent was employed. This nanoparticle was analyzed by Fourier transform infrared Spectroscopy (FT-IR), X-ray diffraction (XRD) and scanning electron microscopy (SEM). The removal rate is strongly dependent on the magnesium manganese oxide nanoparticle initial dosage, MG initial concentration, pH and contact time. The effect of these parameters has been studied and the optimum operational conditions was found. The comparison between the predicted results by designed model and the experimental data proved that modeling of the removal process of MG using PANN was a precise method to predict the extent of MG removal under different conditions.

Keywords: probabilistic artificial neural network, Nanoparticle, removal, magnesium manganese oxide, sol gel, malachite green.

Ref : 691
Title : COMMUTATIVITY OF CONTUNUOUS AND DISCRETE TIME-VARYING SYSTEMS
Author(s) :
 Name : Mehmet Emir KOKSAL Address : Ondokuz Mayis University, Department of Mathematics, 55139 Atakum, Samsun, Turkey

Accepted : 4/26/2016 12:07:00 PM
Abstract :
In this talk, the concept of commutativity is introduced for both continuous and discrete time-varying linear systems. After giving the necessary and sufficient conditions of high-order continuous time-varying linear systems and first-order discrete time-varying linear systems, some famous second order linear differential systems are investigated from the point of having conditional or unconditional commutativity. The possible benefits of commutativity and related future work are also mentioned.

Keywords: Commutativity, Linear time-varying systems, differential and difference equations, analogue and digital control, equivalent circuits, feedback control systems, robust control

Acknowledgment: This work has been supported by the Scientific and Technological Research Council of Turkey under the project no. 115E952 as in the scope of the first work packet.

Ref : 685
Title : Solving dual fuzzy equations by a new iterative method
Author(s) :

 Name : Raheleh Jafari Address : Departamento de Control Autom¶atico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico

 Name : Dumitru Baleanu Address : Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey

Accepted : 4/26/2016 12:09:00 PM
Abstract :
From the investigation revealing past sources, it is clarified that the works on artificial neural networks (ANNs) is considered to be the fundamental spotlight of exhaustive activities related to research. In this current research, a new hybrid scheme based on learning algorithm of fuzzy neural network (FNN) is offered in order to extract the
approximate solution of fully fuzzy dual polynomials (FFDPs). Our FNN in this paper is a five layer feed-back FNN (FBFNN) with the identity activation function that the input-output relation of each unit is defined by the extension principle of Zadeh. The output from this neural network which is also a fuzzy number, is numerically compared
with the target output. The outcome of the comparison of the results related to FBFNN is that with feed-forward FNN (FFFNN) method, the less error is observed in the feed-back method. Several examples, including an economics problem, are given to illustrate the concepts discussed throughout this paper.

Keywords: Fuzzy feed-back neural networks; Fuzzy feed-forward neural networks; Fuzzy neural networks; Fully fuzzy dual polynomials; Fuzzy
solution

Ref : 684
Title : Average Vector Field Method and Caputo Fractional Derivative Definition for Linear Fractional Schrödinger Equation
Author(s) :
 Name : Neslihan Fatma ER Address : Istanbul Kültür University, Mathematics-Computer Department, 34156 Ataköy Istanbul,Turkey

 Name : Canan AKKOYUNLU Address : Istanbul Kültür University, Mathematics-Computer Department, 34156 Ataköy Istanbul,Turkey

 Name : Hikmet ÇAĞLAR Address : Istanbul Kültür University, Mathematics-Computer Department, 34156 Ataköy Istanbul,Turkey

 Name : Canan AKKOYUNLU Address : Istanbul Kültür University, Mathematics-Computer Department, 34156 Ataköy Istanbul,Turkey

Accepted : 4/26/2016 12:09:00 PM
Abstract :
In this study, linear fractional Schrödinger equation with its initial and boundary conditions is studied by using Average Field Vector (AVF) method. Caputo fractional derivative definition is applied to the fractional part of the equation to express it with integer order of derivatives. In the solution of the problem, finite differences discretization along the spatial coordinate and AVF method along the time coordinate have been applied. Dispersion analysis is applied to ensure consistency and convergency of the method used. The result shows that the applied method in this study is an applicable technique.

Ref : 683
Title : Ab-initio study of Optical properties of PbTe, BaTe and Pb1-xBaxTe Alloys.
Author(s) :
 Name : SIFI Chahra Address : Physics Departement UBMA

 Name : CHOUIT Fayrouz Address : Physics Departement UBMA

Accepted : 4/26/2016 12:11:00 PM
Abstract :
Optical properties of semiconductors: PbTe, BaTe and and Pb1-xBaxTe ternary alloys were studied in this work, by using the computer code wien2k.The program uses the density Functionel Theory.
The ab initio full potential linearized augmented plane wave (FP-LAPW) method within density func¬tional theory was applied to study the structural, electronic optical and the thermodynamic properties of PbTe , BaTe and Pb1-xBaxTe ternary alloys. We use both Perdew–Burke–Ernzerhof (PBE) GGA and Engel–Vosko generalized gradient approximations of the exchange-correlation energy that are based on the optimization of total energy and corresponding potential, respectively.
Our investigation of the effect of composition on the lattice constant, bulk modulus and ionicity for ternary alloys shows almost nonlinear dependence on the composition. Com¬positional dependence of the optical and electronic properties studied is also investigated. The values of the refractive index, for the alloys under investigation for some compositions, x, were obtained from FP-LAPW calculations and the different models, Moss, Ravindra, Ervée-Vandamme. Comparison with the experimental data has been made where possible. One can note that the values obtained for the refractive index of binary compounds within FP-LAPW method are in better agreement with available experimental results in comparison with the values calculated by the empirical relations.

Keywords: Materials, optical properties, FP-LAPW, Banb gap, structure.

Ref : 682
Title : Complexity and Fractional Calculus
Author(s) :
 Name : Dumitru Baleanu Address : Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania

Accepted : 4/25/2016 12:34:00 PM
Abstract :
In my talk I will present some new applications of the fractional calculus in the field of the dynamics of complex systems. Illustrative examples of real world problems from various fields of science and engineering will be provided.

Ref : 681
Title : An Energy-Efficient Scheme for Cloud Resource Provisioning Based on Hierarchical Ascendant Classification
Author(s) :
 Name : REBBAH Mohammed Address : University of Mustapha Stambouli Mascara, Algeria

 Name : SMAIL Omar Address : University of Mustapha Stambouli Mascara, Algeria

 Name : LAKEHAL Imene Address : University of Mustapha Stambouli Mascara, Algeria

 Name : BENKHELFELLAH Imene Address : University of Mustapha Stambouli Mascara, Algeria

 Name : BENTAHAR Asma Address : University of Mustapha Stambouli Mascara, Algeria

Accepted : 4/25/2016 12:34:00 PM
Abstract :
Cloud computing referees to the applications and platforms delivered as services to different range of clients over the Internet and the datacenter infrastructure that provides those services. The method that can reduce energy-consuming, make more efficient use of the hardware, and optimize the system performance is widely discussed. In this paper, we purpose a provisioning resources technique in cloud computing to reduce energy costs while maintaining service quality. In order to obtain better performance, in this paper, we propose a bandwidth-aware algorithm for resource provisioning in cloud computing environments. A nonlinear programming model is presented. A Hierarchical Ascendant Classification (HAC) is used to solve this model, the optimized allocation scheme that determines proper number of tasks assigned to each virtual resource node is obtained. We evaluate the proposed solution through simulation using CloudSim toolkit. Evaluation results demonstrate that the proposed solution has better performance.

Keywords: Cloud Computing, Resource provisioning, HAC, energy efficiency

Ref : 680
Title : A Fuzzy Logic Method for MRI Brain Segmentation
Author(s) :
 Name : DEBAKLA Mohammed Address : University of Mustapha Istambouli Mascara, Algeria

 Name : BENMERIEM Khaled Address : University of Mustapha Istambouli Mascara, Algeria

 Name : MOKHTARI Chakir Address : University of Mustapha Istambouli Mascara, Algeria

Accepted : 4/25/2016 12:34:00 PM
Abstract :
Segmentation of medical imaging is useful for extracting information about the status of different tissues, different organs and other parts of the body. Brain image segmentation is one of the most important parts of clinical diagnostic tools. In this paper a new automatic and intelligent clustering approach is proposed for the segmentation of brain MRI images using Fuzzy logic method. The proposed approach is a variation of LAMDA algorithm (Learning Algorithm for Multivariable Data Analysis). The experimental results show the efficient and robust performance of these algorithms. Moreover, the proposed algorithm is more robust and effective against noise, when compared with the traditional Fuzzy C-Means algorithm (FCM).

Keywords: Brain MRI segmentation, Fuzzy Clustering, LAMDA algorithm, Fuzzy C-Means

Ref : 679
Title : Krylov subpsace methods for large differential Riccati equations
Author(s) :
 Name : Mustapha HACHED Address : Université des Sciences et Technologies de Lille, Villeneuve dAscq, France

 Name : Yaprak GULDOGAN Address : Yildiz University, Istambul, Turkey

 Name : Khalide JBILOU Address : ULCO, Calais, France

Accepted : 4/25/2016 12:34:00 PM
Abstract :
The aim of this work is to present a new method for solving large-scale differential continuous-time matrix Riccati equations. These equations have many applications in control theory. Our method is based on Krylov subspace where the initial and large problem is projected onto an extended block Krylov subspace. Then we obtain a low-dimentional differential Riccati equation that is solved by some classical methods such as BDF or Rosenbrock solvers. We present the construction of the method with some theoretical results and give some numerical experiments to show the effectiveness of our approach.

Ref : 676
Title : Bayesian predictive procedure for two steps experimental trials.
Author(s) :
 Name : Djeridi Zohra Address : Mathematics department, Jijel University, Algeria

 Name : Merabet Hayet Address : Laboratoire de Mathématiques Appliquées et Modélisation. Constantine1 University, Algeria

Accepted : 4/24/2016 5:11:00 PM
Abstract :
Bayesian predictive procedures give the researcher a very appealing method to evaluate the chances that the experiment will end up showing a conclusive result , or on the contrary a inconclusive result. The prediction can be explicitly based on either the hypothesis used to monitoring the experiment expressed in terms of prior distribution, or on partial available data, or on both. In this paper, we propose a Bayesian predictive procedure , based on two steps which can be used to develop an adaptive design for phase II clinical trials. We used a non informative prior in reason of neutrality.
Keywords: Baysian prediction, p-value, clinical trials, Monte-Carlo simulation.

Ref : 675
Title : Thermal, structural and magnetic analysis of Fe/SiO2 nanocomposite powders
Author(s) :
 Name : Amel KIHAL Address : Badji Mokhtar Annaba University, Laboratory of Magnetism and Spectroscopy of Solids (LM2S). Algeria

Accepted : 4/24/2016 5:12:00 PM
Abstract :
Nanocomposites of metal nanoparticles dispersed by oxide nanoparticles display a variety of interesting chemical and physical properties. When particules dimensions reach the nanometre level, interactions at phase interfaces become largely improved, which is important to ameliorate materials properties.
This work envisages the synthesis of nanocomposite using mechanochemical reactions induced by mechanical alloying. Mixtures of α-Fe2O3 and Si powders have been milled for various times up to 15h. The as-milled powders were structurally and magnetically characterized by X-ray diffraction and magnetic measurements in dc magnetic fields at room temperature. Differential scanning calorimetry (thermal analysis method) was performed under argon atmosphere.
The refinement of the X-ray diffraction patterns (α-Fe2O3/Si) shows that the reduction of hematite by silicon is gradual up to 10h of milling. After 15h of milling, α-Fe nanoparticles are formed in an amorphous SiO2 phase. All phases have nanometric size (~ 25 nm, 19 nm respectively). The calculated lattice parameter of the iron nanoparticles is a0 = 2.8687 Å.
DSC scans of powder mixtures show different thermal effects. For all ball milled powders, the
first exothermic peak that spreads over the temperature range 50-200°C can be attributed to strains and structural relaxation. The endothermic peak at about 289.1°C for 10h milled powders can be attributed to the glass transition temperature, Tg, giving evidence of the amorphous phase formation. After 15 h of milling, the DSC curve shows an endothermic peak at 635.6°C, which can be related to the magnetic transition temperature of hematite.
The saturation magnetization (Ms) of Fe-SiO2 nanocomposites jumps from 3.5 Am2/kg at 1h to 70.6 Am2/kg at 15h. This value of Ms is in relationship with the change in the computed fraction of iron nanoparticles. The value of coercive field (Hc) is about 0.03 T (at 15h). Nanometric grain size, induced defects introduced by the milling process and matrix nature can explain the above structural and magnetic variations.

Ref : 673
Title : Reduced Differential Transsform Method with Fixed Grid Size for Solving Diffusion Equations
Author(s) :
 Name : Sema Servi Address : Vocational School of Technical Sciences, Selcuk University,Konya,Turkey

 Name : Yıldıray Keskin Address : Department of Mathematics, Science Faculty, Selcuk University, Konya, Turkey