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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| _version_ | 1832564861283860480 |
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| author | Özkan Güner Adem C. Cevikel |
| author_facet | Özkan Güner Adem C. Cevikel |
| author_sort | Özkan Güner |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fbe92d0455f945659da7a4e098e22b4a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-fbe92d0455f945659da7a4e098e22b4a2025-02-03T01:10:04ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/489495489495A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential EquationsÖzkan Güner0Adem C. Cevikel1Department of Management Information Systems, School of Applied Sciences, Dumlupinar University, 43100 Kutahya, TurkeyDepartment of Mathematics Education, Education Faculty, Yildiz Technical University, 34220 Istanbul, TurkeyWe 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.http://dx.doi.org/10.1155/2014/489495 |
| spellingShingle | Özkan Güner Adem C. Cevikel A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations The Scientific World Journal |
| title | A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations |
| title_full | A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations |
| title_fullStr | A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations |
| title_full_unstemmed | A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations |
| title_short | A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations |
| title_sort | procedure to construct exact solutions of nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2014/489495 |
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