4.7 Article Proceedings Paper

Chua's circuit model with Atangana-Baleanu derivative with fractional order

Journal

CHAOS SOLITONS & FRACTALS
Volume 89, Issue -, Pages 547-551

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2016.03.020

Keywords

Chua's circuit; Atangana-Baleanu derivative; New numerical approximation; Numerical simulations

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The analysis of circuit employing the Kirchhoff's circuit laws also known as dynamics of Chua's circuit is extended in this work using the newly established fractional derivative with nonlocal and non-singular kernel. A new numerical analysis is presented and used to solve the extended model. Some numerical simulations are done for different values of the fractional order and new chaotic behaviors are obtained. (C) 2016 Elsevier Ltd. All rights reserved.

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