Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations - Applied Mathematics

AM > Vol.9 No.4, April 2018

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations ()

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DOI: 10.4236/am.2018.94032 1,625 Downloads 4,248 Views Citations

Author(s)

Mohamed Z. Mohamed¹, Tarig M. Elzaki^2*

Affiliation(s)

¹College of Graduate Studies, Department of Mathematics, Omdurman Islamic University, Omdurman, Sudan.
²Mathematics Department, Faculty of Sciences and Arts-Alkamil, University of Jeddah, Jeddah, Saudi Arabia.

ABSTRACT

The aim of this paper is to discuss application of Laplace Decomposition Method with Adomian Decomposition in time-space Fractional Nonlinear Fractional Differential Equations. The approximate solutions result from Laplace Decomposition Method and Adomian decomposition; those two accessions are comfortable to perform and firm when to PDEs. For caption and further representation of the thought, several examples are tool up.

KEYWORDS

Laplace Decomposition Method, Mittag-Leffler Function, Partial Fractional Differential Equation

Share and Cite:

Mohamed, M. and Elzaki, T. (2018) Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations. Applied Mathematics, 9, 448-458. doi: 10.4236/am.2018.94032.

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