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2013•Engineering and Technology JournalOpen access

Analytical Solution for the Fractional Partial Differential Equations by Adomian Decomposition and Modified Decomposition Method

Iman Isho Gorial

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Abstract

In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method. The fractional derivative is described in Caputo's sense. The analytical method has been applied to solve a practical example and its results have been compared with exact solution.

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In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method. The fractional derivative is described in Caputo's sense. The analytical method has been applied to solve a practical example and its results have been compared with exact solution.

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Available abstract

In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method. The fractional derivative is described in Caputo's sense. The analytical method has been applied to solve a practical example and its results have been compared with exact solution.

Key concepts: Adomian decomposition method, Decomposition method (queueing theory), Fractional calculus, Decomposition, Mathematics, Partial differential equation, Exact solutions in general relativity, Derivative (finance)

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