Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations

Weishi Yin, Fei Xu, Weipeng Zhang and Yixian Gao

Advances in Mathematical Physics, 2016, vol. 2016, 1-9

Abstract:

This paper is devoted to finding the asymptotic expansion of solutions to fractional partial differential equations with initial conditions. A new method, the residual power series method, is proposed for time-space fractional partial differential equations, where the fractional integral and derivative are described in the sense of Riemann-Liouville integral and Caputo derivative. We apply the method to the linear and nonlinear time-space fractional Kuramoto-Sivashinsky equation with initial value and obtain asymptotic expansion of the solutions, which demonstrates the accuracy and efficiency of the method.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4632163

DOI: 10.1155/2016/4632163

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