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Reddy JN., An Introduction to the Finite Element Method (Third ed.). McGraw-Hill. New York; 2006.

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Article

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

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


American Journal of Applied Mathematics and Statistics. 2016, Vol. 4 No. 3, 87-93
DOI: 10.12691/ajams-4-3-4
Copyright © 2016 Science and Education Publishing

Cite this paper:
Waleed M. Alhamdan, Luwai Wazzan. Exact Solutions for The Space-Time Fractional SRLW and STO Equationsby The (DαG)/G Expansion Method. American Journal of Applied Mathematics and Statistics. 2016; 4(3):87-93. doi: 10.12691/ajams-4-3-4.

Correspondence to: Waleed  M. Alhamdan, Department of Mathematics, Faculty of Science, King Abdulaziz University, Kingdom of Saudi Arabia. Email: waleedmalhamdan@gmail.com

Abstract

A new application of the remarkable (DαG)/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.

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