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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Veröffentlicht in:Discrete dynamics in nature and society 2017-01, Vol.2017 (2017), p.1-19
Hauptverfasser: Wei, Hui, Chen, Bochao, Cai, Ming, Zhang, Jin
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2017/3540364