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

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  • Wenjin Li
  • Yanni Pang

Abstract

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.

Suggested Citation

  • Wenjin Li & Yanni Pang, 2017. "Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-10, July.
    • Handle: RePEc:hin:jnddns:7695924
    DOI: 10.1155/2017/7695924
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