Analytical approximation solution of a mathematical modeling of reaction-diffusion Brusselator system by reduced differential transform method

In this paper an approximate analytical solution of a mathematical modeling of reaction-diffusion Brusselator system with fractional time derivative will be obtained with the help of the reduced differential transform method. Fractional reaction-diffusion Brusselator system is used for modeling of certain chemical reaction-diffusion processes. The fractional derivatives are described in the Caputo sense. It is indicated that the solutions obtained by the reduced differential transform method are reliable and present an effective method for strongly nonlinear partial equations.