Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5562
Title: An analytic approach to a class of fractional differential-difference equations of rational type via symbolic computation
Authors: Aslan, İsmail
Keywords: (G′/G)-expansion method
Fractional derivative
Differential equations
Difference equations
Rational functions
Publisher: John Wiley and Sons Inc.
Source: Aslan, İ., (2015). An analytic approach to a class of fractional differential-difference equations of rational type via symbolic computation. Mathematical Methods in the Applied Sciences, 38(1), 27-36. doi:10.1002/mma.3047
Abstract: 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.
URI: http://doi.org/10.1002/mma.3047
http://hdl.handle.net/11147/5562
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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