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Modified Chua chaotic attractor with differential operators with non-singular kernels

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  • Mishra, Jyoti

Abstract

In the present paper we analysis the Modified Chua attractor using new concept of fractional differentiation with non-local and non-singular kernel. A new numerical scheme that was recently suggested was used for the Volterra equation with Atangana–Baleanu fractional integral, Caputo–Fabrizio integral and finally Riemann–Liouvile integral. The numerical solution obtained from the new numerical scheme let no doubt than to believe that the new numerical scheme is very efficient and converges toward exact solution very rapidly. Applicability and suitability of the scheme is justified when applied to solve some novel chaotic system with fractional order. Existence and uniqueness of the Volterra type is presented. We presented some numerical simulations for different values of fractional order.

Suggested Citation

  • Mishra, Jyoti, 2019. "Modified Chua chaotic attractor with differential operators with non-singular kernels," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 64-72.
    • Handle: RePEc:eee:chsofr:v:125:y:2019:i:c:p:64-72
    DOI: 10.1016/j.chaos.2019.05.013
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    References listed on IDEAS

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    1. Mishra, Jyoti, 2018. "Fractional hyper-chaotic model with no equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 43-53.
    2. Atangana, Abdon & Gómez-Aguilar, J.F., 2017. "Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 285-294.
    3. Cuahutenango-Barro, B. & Taneco-Hernández, M.A. & Gómez-Aguilar, J.F., 2018. "On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 283-299.
    4. Atangana, Abdon & Gómez-Aguilar, J.F., 2018. "Fractional derivatives with no-index law property: Application to chaos and statistics," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 516-535.
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    1. Zhang, Tianxian & Zhao, Yongqi & Xu, Xiangliang & Wu, Si & Gu, Yujuan, 2024. "Solution and dynamics analysis of fractal-fractional multi-scroll Chen chaotic system based on Adomain decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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