Publication Date:
2016-05-26
Description:
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 2th-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.
Print ISSN:
1024-123X
Electronic ISSN:
1563-5147
Topics:
Mathematics
,
Technology
Permalink