Abdolamir Karbalaie, Mohammad Mehdi Montazer, Hamed Hamid Muhammed, "New Approach to Find the Exact Solution of Fractional Partial Differential Equation," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Abdolamir Karbalaie, Mohammad Mehdi Montazer, Hamed Hamid Muhammed. New Approach to Find the Exact Solution of Fractional Partial Differential Equation.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
New Approach to Find the Exact Solution of Fractional Partial Differential Equation
Authors: , ,
Abstract: 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.
Keywords:
Mitting-leffler functions, Green function, Caputo derivative, Backward Klomogorov equation
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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