Exact Solutions for The Space-Time Fractional SRLW and STO Equationsby The (D^αG)/G Expansion Method

Waleed M. Alhamdan^1, and Luwai Wazzan¹

¹Department of Mathematics, Faculty of Science, King Abdulaziz University, Kingdom of Saudi Arabia

Cite this paper

Waleed M. Alhamdan and Luwai Wazzan. Exact Solutions for The Space-Time Fractional SRLW and STO Equationsby The (D^αG)/G Expansion Method. American Journal of Applied Mathematics and Statistics. 2016; 4(3):87-93. doi: 10.12691/AJAMS-4-3-4

Abstract

A new application of the remarkable (D^αG)/G-expansion method based on a fractional order ordinary differential equation is used to find exact solutions of the space-time fractionalsymmetric regularized long wave (SRLW) equation and the space-time fractional Sharma-Tasso-Olver (STO) equation. This method involves Jumarie’s modified Riemann-Liouville derivative and uses some of its basic properties. Exact solutions for both equations are obtained.

Keywords

fractional differential equations, improved (D^αG)/G expansion method, Jumarie’s modified Riemann-liouville derivative, SRLW equation, STO equation, analytical solutions

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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