The (G′/G, 1/G)-expansion method for solving nonlinear space-time fractional differential equations
Pramana - Journal of Physics, vol.87, no.2, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 87 Issue: 2
- Publication Date: 2016
- Doi Number: 10.1007/s12043-016-1225-7
- Journal Name: Pramana - Journal of Physics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: (G′/G, 1/G)-expansion method, Exact solution, Modified Riemann-Liouville fractional derivative, Space-time Cahn-Allen equation, Space-time Klein-Gordon equation
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
In this work, we present (G′/G, 1/G)-expansion method for solving fractional differential equations based on a fractional complex transform. We apply this method for solving space-time fractional Cahn-Allen equation and space-time fractional Klein-Gordon equation. The fractional derivatives are described in the sense of modified Riemann-Lioville. As a result of some exact solution in the form of hyperbolic, trigonometric and rational solutions are deduced. The obtained solutions may be used for explaining of some physical problems. The (G′/G, 1/G)-expansion method has a wider applicability for nonlinear equations. We have verified all the obtained solutions with the aid of Maple.