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2014 Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G/G)-Expansion Method
Wei Li, Huizhang Yang, Bin He
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/153706

Abstract

Based on Jumarie’s modified Riemann-Liouville derivative, the fractional complex transformation is used to transform fractional differential equations to ordinary differential equations. Exact solutions including the hyperbolic functions, the trigonometric functions, and the rational functions for the space-time fractional bidirectional wave equations are obtained using the (G/G)-expansion method. The method provides a promising tool for solving nonlinear fractional differential equations.

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Wei Li. Huizhang Yang. Bin He. "Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G/G)-Expansion Method." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/153706

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131359
MathSciNet: MR3228124
Digital Object Identifier: 10.1155/2014/153706

Rights: Copyright © 2014 Hindawi

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