Abstract

Fractional-order differential equations are interesting for their applications in the construction of mathematical models in finance, materials science or diffusion. Various methods for obtaining analytic solutions of nonlinear evolution equations have been proposed. In this paper, an application of the Adomian decomposition method is employed for simulation and analysis of fractional-order chaotic systems. The results reveal that the proposed method is very effective and simple and leads to accurate, approximately convergent solutions to nonlinear equations.

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