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2011 Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives
Hadi Hosseini Fadravi, Hassan Saberi Nik, Reza Buzhabadi
Int. J. Differ. Equ. 2011(SI1): 1-12 (2011). DOI: 10.1155/2011/237045

Abstract

The analytical solution of the foam drainage equation with time- and space-fractional derivatives was derived by means of the homotopy analysis method (HAM). The fractional derivatives are described in the Caputo sense. Some examples are given and comparisons are made; the comparisons show that the homotopy analysis method is very effective and convenient. By choosing different values of the parameters α,β in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained.

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Hadi Hosseini Fadravi. Hassan Saberi Nik. Reza Buzhabadi. "Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives." Int. J. Differ. Equ. 2011 (SI1) 1 - 12, 2011. https://doi.org/10.1155/2011/237045

Information

Received: 4 May 2011; Accepted: 12 May 2011; Published: 2011
First available in Project Euclid: 26 January 2017

zbMATH: 1234.35298
MathSciNet: MR2817286
Digital Object Identifier: 10.1155/2011/237045

Rights: Copyright © 2011 Hindawi

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