Yazar "Bayram, Mustafa" için listeleme
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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 ... -
Stability, Synchronization Control and Numerical Solution of Fractional Shimizu–Morioka Dynamical System
Akınlar, Mehmet Ali; Seçer, Aydın; Bayram, Mustafa (Natural Sciences Publishing (NSP), 2014-07-01)In this paper we concern with asymptotic stability, synchronization control and numerical solution of incommensurate order fractional Shimizu–Morioka dynamical system. Firstly we prove the existence and uniqueness of the ... -
Symmetry Properties and Exact Solutions of the Time Fractional Kolmogorov-Petrovskii-Piskunov Equation
Hashemi, Mir Sajjad; İnç, Mustafa; Bayram, Mustafa (SOC MEXICANA FISICA, APARTADO POSTAL 70-348, COYOACAN 04511, MEXICO, 2019)In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained ... -
Theory and application for the system of fractional Burger equations with Mittag leffler kernel
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa (ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169, 2020)In this work, the system of fractional Burger differential equations are presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag leffler kernel. The approximate consequences are analysed ... -
Theory and Application for the Time Fractional Gardner Equation with Mittag-Leffler Kernel
Körpınar, Zeliha; İnç, Mustafa; Baleanu, Dumitru; Bayram, Mustafa (TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2019)In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a ... -
Traveling wave structures of some fourth-order nonlinear partial differential equations
Esen, Handenur; Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2023)This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this method, utilizing a traveling wave ... -
Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers
Özdemir, Neslihan; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2022)In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2 + 1)-dimensional Hirota–Maccari ... -
Two reliable methods for solving the forced convection in a porous-saturated duct
Hashemi, Mir Sajjad; İnç, Mustafa; Seyfi, Negar; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2020)In this paper, the solution of nonlinear forced convection in a porous saturable duct is numerically approximated by two different approaches. The first one is a Lie group integrator based on the group SL2(R), whose ...