Analytical Study of Fractional Reaction-Diffusion Brusselator System

Abstract

In this paper, a time fractional reaction-diffusion Brusselator system with the Caputo type fractional derivatives, is solved by Laplace Adomian decomposition method (LADM). Two numerical examples supported by graphics, tables, and discussion are provided, by comparing the numerical results obtained with the exact solution when α = β = 1, it is observed that they are in perfect agreement, this confirms the accuracy and smoothness of the current method.

Keywords

• Reaction-diffusion Brusselator system
• Fractional derivative in Caputo sence
• Laplace Adomian decomposition method
• Approximate solutions

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