WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7150

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Publisher: search.filters.publisher.John Wiley and Sons Inc.Subject: search.filters.subject.(G′/G)-expansion method

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 22
    Citation - Scopus: 26
    Exact Solutions for Fractional Ddes Via Auxiliary Equation Method Coupled With the Fractional Complex Transform
    (John Wiley and Sons Inc., 2016) Aslan, İsmail
    Dynamical behavior of many nonlinear systems can be described by fractional-order equations. This study is devoted to fractional differential–difference equations of rational type. Our focus is on the construction of exact solutions by means of the (G'/G)-expansion method coupled with the so-called fractional complex transform. The solution procedure is elucidated through two generalized time-fractional differential–difference equations of rational type. As a result, three types of discrete solutions emerged: hyperbolic, trigonometric, and rational. Copyright © 2016 John Wiley & Sons, Ltd. Copyright © 2016 John Wiley & Sons, Ltd.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 21
    An Analytic Approach To a Class of Fractional Differential-Difference Equations of Rational Type Via Symbolic Computation
    (John Wiley and Sons Inc., 2015) Aslan, İsmail
    Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differential-difference equations in the sense of Jumarie's modified Riemann-Liouville derivative has been described and demonstrated. The algorithm has been tested against time-fractional differentialdifference equations of rational type via symbolic computation. Three examples are given to elucidate the solution procedure. Our analyses lead to closed form exact solutions in terms of hyperbolic, trigonometric, and rational functions, which might be subject to some adequate physical interpretations in the future. Copyright © 2013 JohnWiley & Sons, Ltd.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Some Exact Solutions for Toda Type Lattice Differential Equations Using the Improved (g'/g)-expansion Method
    (John Wiley and Sons Inc., 2012) Aslan, İsmail
    Nonlinear lattice differential equations (also known as differential-difference equations) appear in many applications. They can be thought of as hybrid systems for the inclusion of both discrete and continuous variables. On the basis of an improved version of the basic (G′/G)- expansion method, we focus our attention towards some Toda type lattice differential systems for constructing further exact traveling wave solutions. Our method provides not only solitary and periodic wave profiles but also rational solutions with more arbitrary parameters. © 2012 John Wiley & Sons, Ltd.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    The Discrete (g'/g)-expansion Method Applied To the Differential-Difference Burgers Equation and the Relativistic Toda Lattice System
    (John Wiley and Sons Inc., 2012) Aslan, İsmail
    We introduce the discrete (G′/G)-expansion method for solving nonlinear differential-difference equations (NDDEs). As illustrative examples, we consider the differential-difference Burgers equation and the relativistic Toda lattice system. Discrete solitary, periodic, and rational solutions are obtained in a concise manner. The method is also applicable to other types of NDDEs. © 2010 Wiley Periodicals, Inc.