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2014 Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method
Shaher Momani, Asad Freihat, Mohammed AL-Smadi
Abstr. Appl. Anal. 2014(SI40): 1-10 (2014). DOI: 10.1155/2014/276279

Abstract

The multistep generalized differential transform method is applied to solve the fractional-order multiple chaotic FitzHugh-Nagumo (FHN) neurons model. The algorithm is illustrated by studying the dynamics of three coupled chaotic FHN neurons equations with different gap junctions under external electrical stimulation. The fractional derivatives are described in the Caputo sense. Furthermore, we present figurative comparisons between the proposed scheme and the classical fourth-order Runge-Kutta method to demonstrate the accuracy and applicability of this method. The graphical results reveal that only few terms are required to deduce the approximate solutions which are found to be accurate and efficient.

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Shaher Momani. Asad Freihat. Mohammed AL-Smadi. "Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method." Abstr. Appl. Anal. 2014 (SI40) 1 - 10, 2014. https://doi.org/10.1155/2014/276279

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022071
MathSciNet: MR3224305
Digital Object Identifier: 10.1155/2014/276279

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI40 • 2014
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