Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform |
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| Authors: | İsmail Aslan |
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| Affiliation: | Department of Mathematics, ?zmir Institute of Technology, Urla, ?zmir, Turkey |
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| 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. |
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| Keywords: | differential– difference equation fractional calculus local fractional derivative (G'/G)‐expansion method subclass 26A33 34A08 35A20 |
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