Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method

J. F. Gómez-Aguilar, H. Yépez-Martínez, R. F. Escobar-Jiménez, V. H. Olivares-Peregrino, J. M. Reyes and I. O. Sosa

Mathematical Problems in Engineering, 2016, vol. 2016, 1-8

Abstract:

We present new analytical approximated solutions for the space-time fractional nonlinear partial differential coupled mKdV equation. A homotopy analysis method is considered to obtain an infinite series solution. The effectiveness of this method is demonstrated by finding exact solutions of the fractional equation proposed, for the special case when the limit of the integral order of the time derivative is considered. The comparison shows a precise agreement between these solutions.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7047126

DOI: 10.1155/2016/7047126

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