Yazar "Bayram, Mustafa" için Mühendislik ve Mimarlık Fakültesi listeleme
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Numerical Solution of Fractional Benney Equation
Akınlar, Mehmet Ali; Seçer, Aydın; Bayram, Mustafa (Natural Sciences Publishing (NSP), 2014-07-01)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 functional-differential equations with proportional delays via collocation method based on Hermite polynomials
İbiş, Birol; Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-12-20)In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functional-differential equations (NFDEs) with proportional delays. By using Hermite polynomials and ... -
On Discrete Fractional Solutions of Non-Fuchsian Differential Equations
Yılmazer, Reşat; Inc, Mustafa; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ∇η (0 < η < 1). This operator is applied to homogeneous and ... -
On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) ... -
On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrodinger-Hirota equations
Özışık, Müslüm; Önder, İsmail; Esen, Handenur; Çınar, Melih; Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2023)Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic ... -
On the numerical solution of differential-algebraic equations (DAEs) by Laguerre Polynomials approximation
Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-12-01)In this study, we investigate numerical solution of differential-algebraic 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, 2017-10-16)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 PETROVICA-ALASA 12-14 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), 2017-05-01)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, 2018-01-07)In this paper we discuss parameter estimation in black scholes model. A non-parametric 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, 2015-03-11)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 ... -
Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2022)Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which governs the propagation of dispersive ... -
Polynomial Based Differential Quadrature for Numerical Solutions of Kuramoto-Sivashinsky Equation
Yiğit, Gülsemay; Bayram, Mustafa (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)In this study, a numerical discrete derivative technique for solutions of Kuramoto-Sivashinksy equation is considered. According to the procedure, differential quadrature algorithm is adapted in space by using Chebyshev ... -
Rational approximations for solving cauchy problems
Turut, Veyis; Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-08-16)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 ... -
Revealing optical soliton solutions of Schrödinger equation having parabolic law and anti-cubic law with weakly nonlocal nonlinearity
Özdemir, Neslihan; Altun, Selvi; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (TAYLOR & FRANCIS LTD2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2024)In this study, we purpose to ensure optical soliton solutions of the nonlinear Schrödinger equation having parabolic and anti-cubic (AC) laws with a weakly non-local nonlinearity by using the new Kudryashov method. As ... -
Sinc-Galerkin Method for Approximate Solutions of Fractional Order Boundary Value Problems
Seçer, Aydın; Alkan, Sertan; Akınlar, Mehmet Ali; Bayram, Mustafa (SpringerOpen, 2013-12-30)In this paper we present an approximate solution of a fractional order two-point boundary value problem (FBVP). We use the sinc-Galerkin method that has almost not been employed for the fractional order differential ... -
Soliton Solutions for Kudryashov-Sinelshchikov Equation
Yusuf, Abdullahi; İnç, Mustafa; Bayram, Mustafa (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2019)This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and ... -
A Solution Method For Integro-Differential Equations Of Conformable Fractional Derivative
Bayram, Mustafa; Hatipoğlu, Veysel Fuat; Alkan, Sertan; Das, Sebahat Ebru (Vinča Institute of Nuclear Sciences, Belgrade, 2017-11-18)The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation 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, 2010-06-30)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 Mittag-Leffler functions and their relation with the Wright functions
Kurulay, Muhammet; Bayram, Mustafa (SpringerOpen, 2012-10-17)This paper is a short description of our recent results on an important class of the so-called Mittag-Leffler functions, which became important as solutions of fractional order differential and integral equations, control ...