Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method
The fractional derivatives are used in the sense modified Riemann-Liouville to obtain exact solutions for BBM-Burger equation of fractional order. This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic fun...
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| Main Authors: | , , , |
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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/10.1155/2014/181594 |
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| author | Muhammad Shakeel Qazi Mahmood Ul-Hassan Jamshad Ahmad Tauseef Naqvi |
| author_facet | Muhammad Shakeel Qazi Mahmood Ul-Hassan Jamshad Ahmad Tauseef Naqvi |
| author_sort | Muhammad Shakeel |
| collection | DOAJ |
| description | The fractional derivatives are used in the sense modified Riemann-Liouville to obtain exact solutions for BBM-Burger equation of fractional order. This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic function solutions, trigonometric function solutions, and rational solutions are attained. The performance of the method is reliable, useful, and gives newer general exact solutions with more free parameters than the existing methods. Numerical results coupled with the graphical representation completely reveal the trustworthiness of the method. |
| format | Article |
| id | doaj-art-037db6bc73e549b6aa4801e9ca02aab4 |
| 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-037db6bc73e549b6aa4801e9ca02aab42025-02-03T01:00:34ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/181594181594Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion MethodMuhammad Shakeel0Qazi Mahmood Ul-Hassan1Jamshad Ahmad2Tauseef Naqvi3Department of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila 47080, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila 47080, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila 47080, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila 47080, PakistanThe fractional derivatives are used in the sense modified Riemann-Liouville to obtain exact solutions for BBM-Burger equation of fractional order. This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic function solutions, trigonometric function solutions, and rational solutions are attained. The performance of the method is reliable, useful, and gives newer general exact solutions with more free parameters than the existing methods. Numerical results coupled with the graphical representation completely reveal the trustworthiness of the method.http://dx.doi.org/10.1155/2014/181594 |
| spellingShingle | Muhammad Shakeel Qazi Mahmood Ul-Hassan Jamshad Ahmad Tauseef Naqvi Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method Advances in Mathematical Physics |
| title | Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method |
| title_full | Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method |
| title_fullStr | Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method |
| title_full_unstemmed | Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method |
| title_short | Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method |
| title_sort | exact solutions of the time fractional bbm burger equation by novel g g expansion method |
| url | http://dx.doi.org/10.1155/2014/181594 |
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