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Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform

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Date

2016-12

Author

Aslan, İsmail

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Citation

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.

Source

Mathematical Methods in the Applied Sciences

Volume

39

Issue

18

URI

http://doi.org/10.1002/mma.3946
http://hdl.handle.net/11147/5782

Collections

  • Mathematics / Matematik [657]
  • Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection [4235]
  • WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection [4079]



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