Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems

Asad Freihat and Shaher Momani

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

Abstract:

A new reliable algorithm based on an adaptation of the standard generalized differential transform method (GDTM) is presented. The GDTM is treated as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of fractional-order Rössler chaotic and hyperchaotic systems. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The algorithm described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:934219

DOI: 10.1155/2012/934219

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