Homotopy Series Solutions to Time-Space Fractional Coupled Systems
We apply the homotopy perturbation Sumudu transform method (HPSTM) to the time-space fractional coupled systems in the sense of Riemann-Liouville fractional integral and Caputo derivative. The HPSTM is a combination of Sumudu transform and homotopy perturbation method, which can be easily handled wi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/3540364 |
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| _version_ | 1832567246632779776 |
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| author | Jin Zhang Ming Cai Bochao Chen Hui Wei |
| author_facet | Jin Zhang Ming Cai Bochao Chen Hui Wei |
| author_sort | Jin Zhang |
| collection | DOAJ |
| description | We apply the homotopy perturbation Sumudu transform method (HPSTM) to the time-space fractional coupled systems in the sense of Riemann-Liouville fractional integral and Caputo derivative. The HPSTM is a combination of Sumudu transform and homotopy perturbation method, which can be easily handled with nonlinear coupled system. We apply the method to the coupled Burgers system, the coupled KdV system, the generalized Hirota-Satsuma coupled KdV system, the coupled WBK system, and the coupled shallow water system. The simplicity and validity of the method can be shown by the applications and the numerical results. |
| format | Article |
| id | doaj-art-9c05087bcaa44fcc8d8cf44b827b768d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9c05087bcaa44fcc8d8cf44b827b768d2025-02-03T01:01:59ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/35403643540364Homotopy Series Solutions to Time-Space Fractional Coupled SystemsJin Zhang0Ming Cai1Bochao Chen2Hui Wei3School of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, ChinaWe apply the homotopy perturbation Sumudu transform method (HPSTM) to the time-space fractional coupled systems in the sense of Riemann-Liouville fractional integral and Caputo derivative. The HPSTM is a combination of Sumudu transform and homotopy perturbation method, which can be easily handled with nonlinear coupled system. We apply the method to the coupled Burgers system, the coupled KdV system, the generalized Hirota-Satsuma coupled KdV system, the coupled WBK system, and the coupled shallow water system. The simplicity and validity of the method can be shown by the applications and the numerical results.http://dx.doi.org/10.1155/2017/3540364 |
| spellingShingle | Jin Zhang Ming Cai Bochao Chen Hui Wei Homotopy Series Solutions to Time-Space Fractional Coupled Systems Discrete Dynamics in Nature and Society |
| title | Homotopy Series Solutions to Time-Space Fractional Coupled Systems |
| title_full | Homotopy Series Solutions to Time-Space Fractional Coupled Systems |
| title_fullStr | Homotopy Series Solutions to Time-Space Fractional Coupled Systems |
| title_full_unstemmed | Homotopy Series Solutions to Time-Space Fractional Coupled Systems |
| title_short | Homotopy Series Solutions to Time-Space Fractional Coupled Systems |
| title_sort | homotopy series solutions to time space fractional coupled systems |
| url | http://dx.doi.org/10.1155/2017/3540364 |
| work_keys_str_mv | AT jinzhang homotopyseriessolutionstotimespacefractionalcoupledsystems AT mingcai homotopyseriessolutionstotimespacefractionalcoupledsystems AT bochaochen homotopyseriessolutionstotimespacefractionalcoupledsystems AT huiwei homotopyseriessolutionstotimespacefractionalcoupledsystems |