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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/153706 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685413775540224 |
|---|---|
| author | Wei Li Huizhang Yang Bin He |
| author_facet | Wei Li Huizhang Yang Bin He |
| author_sort | Wei Li |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bf03f6b86bea40758d89e8ac5dcd49e8 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bf03f6b86bea40758d89e8ac5dcd49e82025-08-20T03:23:08ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/153706 |
| work_keys_str_mv | AT weili exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod AT huizhangyang exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod AT binhe exactsolutionsofthespacetimefractionalbidirectionalwaveequationsusingtheggexpansionmethod |