Application of the (G0/G)-expansion method for some space-time fractional partial differential equations

Year 2018, Volume: 67 Issue: 1, 60 - 67, 01.02.2018

Aylin Mine Bayrak

https://doi.org/10.1501/Commua1_0000000830

Cited By: 5

Abstract

In this paper, the (G0/G)-expansion method is presented for finding the exact solutions of the space-time fractional traveling wave solutions for the Joseph-Egri (TRLW) equation and Gardner equation. The fractional derivatives are described by modified Riemann-Liouville sense. Many exact solutions are obtained by the hyperbolic functions, the trigonometric functions and the rational functions. This method is effcient and powerful in performing a solution to the fractional partial differential equations. Also, the method reduces the large amount of calculations

Keywords

Exact traveling wave solutions, (G=G)-expansion method, space-timefractional partial diğerential equations, modi…ed Riemann-Liouville derivative

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