A New Approach for Solving Fractional Partial Differential Equations
We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Foka...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/256823 |
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| _version_ | 1832564332760662016 |
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| author | Fanwei Meng |
| author_facet | Fanwei Meng |
| author_sort | Fanwei Meng |
| collection | DOAJ |
| description | We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Fokas equation. As a result, some new exact solutions for them are obtained. This approach can be suitable for solving fractional partial differential equations with more general forms than the method proposed by S. Zhang and H.-Q. Zhang (2011). |
| format | Article |
| id | doaj-art-6661bb67c05647a3b6a70a36b150c269 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6661bb67c05647a3b6a70a36b150c2692025-02-03T01:11:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/256823256823A New Approach for Solving Fractional Partial Differential EquationsFanwei Meng0School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaWe propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Fokas equation. As a result, some new exact solutions for them are obtained. This approach can be suitable for solving fractional partial differential equations with more general forms than the method proposed by S. Zhang and H.-Q. Zhang (2011).http://dx.doi.org/10.1155/2013/256823 |
| spellingShingle | Fanwei Meng A New Approach for Solving Fractional Partial Differential Equations Journal of Applied Mathematics |
| title | A New Approach for Solving Fractional Partial Differential Equations |
| title_full | A New Approach for Solving Fractional Partial Differential Equations |
| title_fullStr | A New Approach for Solving Fractional Partial Differential Equations |
| title_full_unstemmed | A New Approach for Solving Fractional Partial Differential Equations |
| title_short | A New Approach for Solving Fractional Partial Differential Equations |
| title_sort | new approach for solving fractional partial differential equations |
| url | http://dx.doi.org/10.1155/2013/256823 |
| work_keys_str_mv | AT fanweimeng anewapproachforsolvingfractionalpartialdifferentialequations AT fanweimeng newapproachforsolvingfractionalpartialdifferentialequations |