New exact solution for space-time fractional differential equations via (G′/G)-expansion method

In this work, new exact solutions for nonlinear fractional DR equation and fractional approximate long water wave equation are obtained within the modified Riemann–Liouville derivative. These solutions can be useful to explain some physical phenomena. We use the (G′/G)-expansion method to establish...

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Bibliographic Details
Published in:Optik (Stuttgart) 2017-02, Vol.130, p.696-701
Main Authors: Guner, Ozkan, Atik, Hasan, Kayyrzhanovich, Alzhanov Aytugan
Format: Article
Language:English
Subjects:
(G′/G)-expansion method
Exact solution
Fractional approximate long water wave equation
Fractional DR equation
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Summary:In this work, new exact solutions for nonlinear fractional DR equation and fractional approximate long water wave equation are obtained within the modified Riemann–Liouville derivative. These solutions can be useful to explain some physical phenomena. We use the (G′/G)-expansion method to establish the exact solutions for above mentioned equations. We report that this method is efficient and it is applicable to other fractional differential equations.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2016.10.116