An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method

  • Authors:
  • S. Abbasbandy

  • Affiliations:
  • Department of Mathematics, Imam Khomeini International University, Ghazvin 34194-288, Iran

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

In this article, an application of He's variational iteration method is proposed to approximate the solution of a nonlinear fractional differential equation with Riemann-Liouville's fractional derivatives. Also, the results are compared with those obtained by Adomian's decomposition method and truncated series method. The results reveal that the method is very effective and simple.