Numerical solution of integro-differential equations of fractional order by Laplace decomposition method

نویسندگان

  • CHANGQING YANG
  • JIANHUA HOU
چکیده

Abstract: In this paper, Laplace decomposition method is developed to solve linear and nonlinear fractional integrodifferential equations. The proposed method is based on the application of Laplace transform to nonlinear fractional integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polynomials. The fractional derivative is described in the Caputo sense. The Laplace decomposition method is found to be fast and accurate. Illustrative examples are included to demonstrate the validity and applicability of presented technique and comparison is made with exacting results.

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تاریخ انتشار 2014