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Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors

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Date

2018

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MDPI

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Abstract

This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich-Fabrikant, Thomas' cyclically symmetric attractor and Newton-Leipnik. Fractional conformable and beta-conformable derivatives of Liouville-Caputo type are considered to solve the proposed systems. A numerical method based on the Adams-Moulton algorithm is employed to approximate the numerical simulations of the fractional-order conformable attractors. The results of the new type of fractional conformable and beta-conformable attractors are provided to illustrate the effectiveness of the proposed method.

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Fractional Calculus, Fractional Conformable Derivative, Fractional Beta-Conformable Derivative, Chaos, Adams-Moulton Scheme

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Citation

Solis Perez, Jesus Emmanuel...et al. (2018). Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors, Entropy, 20(5).

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Entropy

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20

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5

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