Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method

Fei Xu, Yixian Gao, Xue Yang and He Zhang

Mathematical Problems in Engineering, 2016, vol. 2016, 1-15

Abstract:

This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems in . Using RPSM, we can obtain FPS solutions of fourth-, sixth-, and 2 th-order time-space fractional Boussinesq equations in and fourth-order time-space fractional Boussinesq equations in and . Finally, by numerical experiments, it is shown that RPSM is a simple, effective, and powerful method for seeking approximate analytic solutions of fractional differential equations.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5492535

DOI: 10.1155/2016/5492535

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