A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/489495 |
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| Summary: | We use the fractional transformation to convert the nonlinear
partial fractional differential equations with the nonlinear ordinary
differential equations. The Exp-function method is extended to solve
fractional partial differential equations in the sense of the modified
Riemann-Liouville derivative. We apply the Exp-function method to the
time fractional Sharma-Tasso-Olver equation, the space fractional Burgers
equation, and the time fractional fmKdV equation. As a result, we obtain some
new exact solutions. |
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| ISSN: | 2356-6140 1537-744X |