New approach to find the exact solution of fractional partial differential equation

New approach to find the exact solution of fractional partial differential equation

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...

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Veröffentlicht in:WSEAS Transactions Mathematics 2012, Vol.11 (10), p.908
Hauptverfasser: Karbalaie, Abdolamir, Montazeri, M. M., Hamid Muhammed, Hamed
Format: Artikel
Sprache:eng
Schlagworte:
Backward Klomogorov equation
Caputo derivative
Green function
Mitting-leffler functions
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Zusammenfassung: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.
ISSN:2224-2880
1109-2769