New Approach to Find the Exact Solution of Fractional Partial Differential Equation

نویسندگان

  • ABDOLAMIR KARBALAIE
  • MOHAMMAD MEHDI MONTAZER
  • HAMED HAMID MUHAMMED
  • Abdolamir Karbalaie
  • Mohammad Mehdi
چکیده

In this study, we present the exact solution of certain fractional partial differential equations (FPDE) by using a modified homotopy perturbation method (MHPM).The exact solutions are constructed by choosing an appropriate initial approximation and only one term of the series obtained by MHPM. The exact solutions for initial value problems of FPDE are analytically derived. The methods introduced an efficient tool for solving a wide class of time-fractional partial differential equations. Key-Words: Mitting-leffler functions, Green function, Caputo derivative, Backward Klomogorov equation.

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تاریخ انتشار 2012