Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5782
Title: Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform
Authors: Aslan, İsmail
Keywords: (G′/G)-expansion method
Difference equations
Differential equations
Fractional calculus
Local fractional derivative
Subclass 26A33
Issue Date: Dec-2016
Publisher: John Wiley and Sons Inc.
Source: Aslan, İ. (2016). Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform. Mathematical Methods in the Applied Sciences, 39(18), 5619-5625. doi:10.1002/mma.3946
Abstract: 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.
URI: http://doi.org/10.1002/mma.3946
http://hdl.handle.net/11147/5782
ISSN: 0170-4214
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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