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

Authors : Aylin Mine BAYRAK

Pages : 60-67

Doi:10.1501/Commua1_0000000830

View : 15 | Download : 7

Publication Date : 2018-02-01

Article Type : Research Paper

Abstract :In this paper, the insert ignore into journalissuearticles values(G0/G);-expansion method is presented for finding the exact solutions of the space-time fractional traveling wave solutions for the Joseph-Egri insert ignore into journalissuearticles values(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