Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform

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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.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #15

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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.
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