Browsing by Author "Bayram, Mustafa"
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An approximate solution of fractional cable equation by homotopy analysis method
İnç, Mustafa; Cavlak, Ebru; Bayram, Mustafa (SpringerOpen, 20140316)In this article, the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the RiemannLiouville fractional partial derivative. This method includes an auxiliary parameter h which provides a ... 
Approximates Method for Solving an Elasticity Problem of Settled of the Elastic Ground with Variable Coefficients
Bayram, Mustafa; Yıldırım, Kenan (Natural Sciences Publishing (NSP), 20130701)In this paper, we have given numerical solutions of the elasticity problem of settled on the elastic ground with variable coefficient. Firstly, we calculate the generalized successive approximation of the given boundary ... 
The Common Solution for a Generalized Equilibrium Problem, A Variational Inequality Problem and A Hierarchical Fixed Point Problem
Karahan, İbrahim; Seçer, Aydın; Özdemir, Murat; Bayram, Mustafa (SpringerOpen, 20150212)The present paper aims to deal with a new iterative method to find a common solution of a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a sequence of nearly ... 
Convexity of Certain q Integral Operators of p Valent Functions
Selvakumaran, K. A.; Purohit, Sunil Dutt; Seçer, Aydın; Bayram, Mustafa (Hindawi Publishing Corporation, 20140512)By applying the concept (and theory) of fractional calculus, we first define and introduce two new integral operators for certain analytic functions defined in the unit disc . Convexity properties of these integral ... 
The Gegenbauer WaveletsBased Computational Methods for the Coupled System of Burgers' Equations with TimeFractional Derivative
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (MDPI, ST ALBANANLAGE 66, CH4052 BASEL, SWITZERLAND, 2019)In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers' equations with a timefractional derivative. In the presented methods, we combined the operational ... 
The generalized successive approximation and Pade´ approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients
Bayram, Mustafa (BISKA Bilişim Teknoloji, 20170105)In this study, we have applied a generalized successive numerical technique to solve the elasticity problem of based on the elastic ground with variable coefficient. In the first stage, we have calculated the generalized ... 
Legendre Wavelet Operational Matrix Method for Solving Fractional Differential Equations in Some Special Conditions
Seçer, Aydın; Altun, Selvi; Bayram, Mustafa (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICAALASA 1214 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)This paper proposes a new technique which rests upon Legendre wavelets for solving linear and nonlinear forms of fractional order initial and boundary value problems. In some particular circumstances, a new operational ... 
Modeling and Resource Scheduling of RealTime Unsplittable Data Transfers
Atanak, Mustafa Mujdat; Dogan, Atakan; Bayram, Mustafa (Natural Sciences Publishing (NSP), 20150301)Realtime communication where the timely delivery of the data transfer requests needs to be guaranteed is essential for several applications. This work formally introduces the RealTime Unsplittable Data Dissemination ... 
A new collocation method based on Euler polynomials for solution of generalized pantograph equations
İbiş, Birol; Bayram, Mustafa (BISKA Bilişim Teknoloji, 20161223)In this paper, a new collocation method based on Euler polynomials is improved for the numerical solution of generalized pantograph equations. This method transforms the generalized pantograph equations into the matrix ... 
New Soliton Solutions of the Fractional Regularized Long Wave Burger Equation by Means of Conformable Derivative
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2019)In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLWBurgers) equation by means of the conformable derivative. Firstly, this fractional ... 
New Solutions of the Fractional Boussinesqlike Equations by Means of Conformable Derivatives
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2019)In this paper, the process of the extended direct algebraic method (EDAM) is used to solve two fractional Boussinesqlike equations by means of conformable derivatives. Firstly, these fractional equations are changed into ... 
Numerical methods for simulation of stochastic differential equations
Bayram, Mustafa; Partal, Tuğçem; Orucova Büyüköz, Gülşen (Advances in Difference Equations, 20180115)In this paper we are concerned with numerical methods to solve stochastic differential equations (SDEs), namely the EulerMaruyama (EM) and Milstein methods. These methods are based on the truncated ItoTaylor expansion. ... 
Numerical Solution of Fractional Benney Equation
Akınlar, Mehmet Ali; Seçer, Aydın; Bayram, Mustafa (Natural Sciences Publishing (NSP), 20140701)In this paper we propose a new solution technique for numerical solution of fractional Benney equation, a fourth degree nonlinear fractional partial differential equation with broad range of applications. The method could ... 
Numerical solution of the neutral functionaldifferential equations with proportional delays via collocation method based on Hermite polynomials
İbiş, Birol; Bayram, Mustafa (BISKA Bilişim Teknoloji, 20161220)In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functionaldifferential equations (NFDEs) with proportional delays. By using Hermite polynomials and ... 
On the numerical solution of differentialalgebraic equations (DAEs) by Laguerre Polynomials approximation
Bayram, Mustafa (BISKA Bilişim Teknoloji, 20161201)In this study, we investigate numerical solution of differentialalgebraic equations (DAEs) using the Laguerre polynomials approximation. Two different problems are solved using the Laguerre polynomials approximation and ... 
On the Oscillation of Fractional Order Nonlinear Differential Equations
Bayram, Mustafa; Seçer, Aydın; Adıgüzel, Hakan (Sakarya Üniversitesi, 20171016)In the article, we are concerned with the oscillatory solutions of a class of fractional differential equations. By using generalized Riccati function and Hardy inequalities, we present some oscillation criterias. As a ... 
Oscillation Properties of Solutions of Fractional Difference Equations
Bayram, Mustafa; Seçer, Aydın (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICAALASA 1214 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)In this article, studied the properties of the oscillation of fractional difference equations, and we obtain some results. The results we obtained are an expansion and further development of highly known results. Then we ... 
Oscillatory Behavior of Solutions of Differential Equations with Fractional Order
Bayram, Mustafa; Seçer, Aydın; Adıgüzel, Hakan (Natural Sciences Publishing (NSP), 20170501)In this paper, we investigated a kind of fractional differential equations with damping term. Using generalized Riccati function, we present some oscillation criteria. Finally, some examples are given to illustrative the ... 
Parameter Estimation an a Black Scholes
Bayram, Mustafa; Orucova Büyüköz, Gülşen; Partal, Tuğçem (Vinča Institute of Nuclear Sciences, Belgrade, 20180107)In this paper we discuss parameter estimation in black scholes model. A nonparametric estimation method and well known maximum likelihood estimator are considered. Our aim is to estimate the unknown parameters for stochastic ... 
Partial Fractional Equations and Their Applications
Atangana, Abdon; Jafari, Hossein; Belhaouari, Samir B.; Bayram, Mustafa (Hindawi Publishing Corporation, 20150311)In the past years, many physical problems in almost all branches of sciences and engineering were with success modelled using the concept of fractional order derivative. This subject has therefore fascinated consideration ...