Geodesic
A novel solution for fractional chaotic Chen system
Alomari, A. K.1
1 Department of Mathematics, Faculty of Science, Yarmouk University, 211-63 Irbid, Jordan
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 5, p. 478-488.

Voir la notice de l'article provenant de la source International Scientific Research Publications

A novel solution to the fraction chaotic Chen system is presented in this paper by using the step homotopy analysis method. This method yields a continuous solution in terms of a rapidly convergent infinite power series with easily computable terms. Moreover, the residual error of the SHAM solution is defined and computed for each time interval. Via the computing of the residual error we observe that the accuracy of the present method tends to $10^{-11}$ which is very high.
DOI : 10.22436/jnsa.008.05.03
Classification : 65P20, 26A33, 34A08
Keywords: Chaotic system, fractional Chen system, homotopy analysis method, step homotopy analysis method, residual error.

Alomari, A. K. 1

1 Department of Mathematics, Faculty of Science, Yarmouk University, 211-63 Irbid, Jordan 
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Alomari, A. K. A novel solution for fractional chaotic Chen system. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 5, p. 478-488. doi : 10.22436/jnsa.008.05.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.05.03/

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