Browsing by Author "Bayram, Mustafa"
Now showing items 120 of 21

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; Secer, 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; Secer, 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 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 ... 
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 ... 
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; Secer, 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; Secer, 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 ... 
Oscillatory behavior of solutions of differential equations with fractional order
Bayram, Mustafa; Secer, 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 ... 
Rational approximations for solving cauchy problems
Turut, Veyis; Bayram, Mustafa (BISKA Bilişim Teknoloji, 20160816)In this letter, numerical solutions of Cauchy problems are considered by multivariate Pad´e approximations (MPA). Multivariate Pad´e approximations (MPA) were applied to power series solutions of Cauchy problems that solved ... 
SincGalerkin method for approximate solutions of fractional order boundary value problems
Secer, Aydın; Alkan, Sertan; Akınlar, Mehmet Ali; Bayram, Mustafa (SpringerOpen, 20131230)In this paper we present an approximate solution of a fractional order twopoint boundary value problem (FBVP). We use the sincGalerkin method that has almost not been employed for the fractional order differential ... 
A Solution Method For IntegroDifferential Equations Of Conformable Fractional Derivative
Bayram, Mustafa; Hatipoğlu, Veysel Fuat; Alkan, Sertan; Das, Sebahat Ebru (Vinča Institute of Nuclear Sciences, Belgrade, 20171118)The aim of this work is to determine an approximate solution of a fractional order VolterraFredholm integrodifferential equation using by the Sinccollocation method. Conformable derivative is considered for the fractional ... 
Solving a system of nonlinear fractional partial differential equations using three dimensional differential transform method
Kurulay, Muhammet; İbrahimoğlu, Bayram Ali; Bayram, Mustafa (Academic Journals, 20100630)In this article, three dimensional fractional partial differential transform method (FPDTM) has been employed to obtain solutions of a System of nonlinear fractional partial differential equations. This indicates the ... 
Some properties of the MittagLeffler functions and their relation with the Wright functions
Kurulay, Muhammet; Bayram, Mustafa (SpringerOpen, 20121017)This paper is a short description of our recent results on an important class of the socalled MittagLeffler functions, which became important as solutions of fractional order differential and integral equations, control ...