Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Publisher: search.filters.publisher.John Wiley and Sons Inc.Subject: search.filters.subject.Fractional calculus

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  • 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; Aslan, İsmail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.