Abdolamir Karbalaie, Mohammad Mehdi Montazeri, Hamed Hamid Muhammed, "Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform," WSEAS Transactions on Mathematics, vol. 13, pp. 142-151, 2014, DOI:
Abdolamir Karbalaie, Mohammad Mehdi Montazeri, Hamed Hamid Muhammed. Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform.
WSEAS Transactions on Mathematics. 2014;13:142-151.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform
Authors: , ,
Abstract: In this study, we propose a new algorithm to find exact solution of nonlinear time- fractional partial differential equations. The new algorithm basically illustrates how two powerful algorithms, the homotopy pertur- bation method and the Sumudu transform method can be combined and used to get exact solutions of fractional partial differential equations. We also present four different examples to illustrate the preciseness and effectiveness of this algorithm.
Keywords:
Mitting-Leffler functions, biological population model, Caputo derivative, Sumudu transform, Fokker-Plank equation
Pages: 142-151 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #15 DOI: *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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