- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 67 Issue: 1
- Application of the (G0/G)-expansion method for some space-time fractional partial differential equat...
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 : 7 | Download : 4
Publication Date : 2018-02-01
Article Type : Research
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 calculationsKeywords : Exact traveling wave solutions, (G=G)-expansion method, space-timefractional partial diğerential equations, modi…ed Riemann-Liouville derivative