Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method
作者： Fei Xu , Yixian Gao , Xue Yang , He Zhang
DOI: 10.1155/2016/5492535
关键词: Fractional power 、 Space (mathematics) 、 Series (mathematics) 、 Residual 、 Initial value problem 、 Simple (abstract algebra) 、 Power series 、 Fractional calculus 、 Mathematical analysis 、 Mathematics
摘要: This paper is aimed at constructing fractional power series (FPS) solutions of time-space Boussinesq equations using residual method (RPSM). Firstly we generalize the idea RPSM to solve any-order differential in high-dimensional space with initial value problems . Using RPSM, can obtain FPS fourth-, sixth-, and 2th-order fourth-order Finally, by numerical experiments, it shown that a simple, effective, powerful for seeking approximate analytic equations.
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