On the concept of exact solution for nonlinear differential equations of fractional-order
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.39, no.14, pp.4035-4043, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 14
- Publication Date: 2016
- Doi Number: 10.1002/mma.3845
- Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.4035-4043
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
In this article, the new exact travelling wave solutions of the nonlinear space-time fractional Burger's, the nonlinear space-time fractional Telegraph and the nonlinear space-time fractional Fisher equations have been found. Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into ordinary differential equations of integer order in the sense of the Jumarie's modified Riemann-Liouville derivative. The (G'/G)-expansion method is effective for constructing solutions to the nonlinear fractional equations, and it appears to be easier and more convenient by means of a symbolic computation system. Copyright (C) 2016 John Wiley & Sons, Ltd.