Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method

Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method

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 t...

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Main Authors: Wei Li, Huizhang Yang, Bin He
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/153706
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spelling doaj-bf03f6b86bea40758d89e8ac5dcd49e82020-11-24T23:46:03ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/153706153706Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion MethodWei Li0Huizhang Yang1Bin He2College of Mathematics of Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics of Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics of Honghe University, Mengzi, Yunnan 661100, ChinaBased 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.http://dx.doi.org/10.1155/2014/153706
collection DOAJ
language English
format Article
sources DOAJ
author Wei Li
Huizhang Yang
Bin He
spellingShingle Wei Li
Huizhang Yang
Bin He
Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
Journal of Applied Mathematics
author_facet Wei Li
Huizhang Yang
Bin He
author_sort Wei Li
title Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
title_short Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
title_full Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
title_fullStr Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
title_full_unstemmed Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
title_sort exact solutions of the space-time fractional bidirectional wave equations using the (g′/g)-expansion method
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/153706
work_keys_str_mv AT weili exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod
AT huizhangyang exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod
AT binhe exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod
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