Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods
We apply the functional variable method, exp-function method, and (G′/G)-expansion method to establish the exact solutions of the nonlinear fractional partial differential equation (NLFPDE) in the sense of the modified Riemann-Liouville derivative. As a result, some new exact solutions for them are...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/456804 |
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| author | Özkan Güner Dursun Eser |
| author_facet | Özkan Güner Dursun Eser |
| author_sort | Özkan Güner |
| collection | DOAJ |
| description | We apply the functional variable method, exp-function method, and (G′/G)-expansion method to establish the exact solutions of the nonlinear fractional partial differential equation (NLFPDE) in the sense of the modified Riemann-Liouville derivative. As a result, some new exact solutions for them are obtained. The results show that these methods are very effective and powerful mathematical tools for solving nonlinear fractional equations arising in mathematical physics. As a result, these methods can also be applied to other nonlinear fractional differential equations. |
| format | Article |
| id | doaj-art-1c7bb8454e394ceeb710c3f3af7c4ade |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1c7bb8454e394ceeb710c3f3af7c4ade2025-02-03T05:44:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/456804456804Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different MethodsÖzkan Güner0Dursun Eser1Department of Management Information Systems, School of Applied Sciences, Dumlupınar University, 43100 Kutahya, TurkeyDepartment of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, 26480 Eskisehir, TurkeyWe apply the functional variable method, exp-function method, and (G′/G)-expansion method to establish the exact solutions of the nonlinear fractional partial differential equation (NLFPDE) in the sense of the modified Riemann-Liouville derivative. As a result, some new exact solutions for them are obtained. The results show that these methods are very effective and powerful mathematical tools for solving nonlinear fractional equations arising in mathematical physics. As a result, these methods can also be applied to other nonlinear fractional differential equations.http://dx.doi.org/10.1155/2014/456804 |
| spellingShingle | Özkan Güner Dursun Eser Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods Advances in Mathematical Physics |
| title | Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods |
| title_full | Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods |
| title_fullStr | Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods |
| title_full_unstemmed | Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods |
| title_short | Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods |
| title_sort | exact solutions of the space time fractional symmetric regularized long wave equation using different methods |
| url | http://dx.doi.org/10.1155/2014/456804 |
| work_keys_str_mv | AT ozkanguner exactsolutionsofthespacetimefractionalsymmetricregularizedlongwaveequationusingdifferentmethods AT dursuneser exactsolutionsofthespacetimefractionalsymmetricregularizedlongwaveequationusingdifferentmethods |