Analytical treatment of differential equations with fractional coordinate derivatives

  • Authors:
  • A. Golbabai;K. Sayevand

  • Affiliations:
  • -;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

This paper outlines a reliable strategy to use the homotopy perturbation method based on Jumarie's derivative for solving fractional differential equations. In this framework, compact structures of fourth-order fractional diffusion-wave equations are considered as prototype examples. Moreover, convergence of the proposed approach for these types of equations is investigated. Results show that the response expressions are Mittag-Leffler stable.