AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS-Reference-Cited by-同舟云学术

AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS

Published:2013-03 Issue:03 Volume:23 Page:1350050
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CAPONETTO R.¹,FAZZINO S.¹

Affiliation:

1. Dipartimento di Ingegneria, Elettrica, Elettronica e Informatica, Facoltà di Ingegneria – Università degli Studi di Catania, Viale Andrea Doria 6, 95125 Catania, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413500508

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