Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method

作者：Li, Wenjin; Pang, Yanni^*

来源：Discrete Dynamics in Nature and Society, 2017, 2017: 1-10.

DOI：10.1155/2017/7695924

• DIFFERENTIAL-EQUATIONS
• SOLITON-SOLUTIONS
• TRANSFORM

' This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. We introduce the Residual Power Series (for short RPS) method to construct the desired asymptotic solutions. Furthermore, we apply this method to some time-space fractional coupled systems. The simplicity and efficiency of RPS method are shown by the application.

• 出版日期2017
• 单位吉林大学