The foam drainage equation with time- and space-fractional derivatives solved by the Adomian method

Z. Dahmani, Mostaganem University, Mostaganem, Algeria
M. M. Mesmoudi, IUFM, University Paris 12, Creteil, France
R. Bebbouchi, Houari Boumedienne University of Sciences and Technology, Algiers, Algeria

E. J. Qualitative Theory of Diff. Equ., No. 30. (2008), pp. 1-10.

Communicated by M. Benchohra.Received on 2008-05-30
Appeared on 2008-10-10

Abstract: In this paper, by introducing the fractional derivative in the sense of Caputo, we apply the Adomian decomposition method for the foam drainage equation with time- and space-fractional derivative. As a result, numerical solutions are obtained in a form of rapidly convergent series with easily computable components.

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