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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations
College of Graduate Studies, Department of Mathematics, Omdurman Islamic University, Omdurman, Sudan
Mathematics Department, Faculty of Sciences and Arts-Alkamil, University of Jeddah, Jeddah, Saudi Arabia
- 1 College of Graduate Studies, Department of Mathematics, Omdurman Islamic University, Omdurman, Sudan
- 2 Mathematics Department, Faculty of Sciences and Arts-Alkamil, University of Jeddah, Jeddah, Saudi Arabia
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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.
KeywordsLaplace Decomposition MethodMittag-Leffler FunctionPartial Fractional Differential Equation
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