Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method (Q1793489)

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scientific article; zbMATH DE number 6953498
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Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method
scientific article; zbMATH DE number 6953498

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    Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method (English)
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    12 October 2018
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    Summary: 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.
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