Analytical solution of the linear fractional differential equation by Adomian decomposition method

  • Authors:

  • Yizheng Hu;Yong Luo;Zhengyi Lu

  • Affiliations:

  • Mathematics Department of Wenzhou University, Wenzhou, Zhejiang Province 325035, China;Mathematics Department of Wenzhou University, Wenzhou, Zhejiang Province 325035, China;Mathematics Department of Wenzhou University, Wenzhou, Zhejiang Province 325035, China and Institute of Computer Applications, Academia Sinica, Chengdu, Sichuan Province 610000, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, we consider the n-term linear fractional-order differential equation with constant coefficients and obtain the solution of this kind of fractional differential equations by Adomian decomposition method. With the equivalent transmutation, we show that the solution by Adomian decomposition method is the same as the solution by the Green's function. Finally, we illustrate our result with some examples.