Entropy, Vol. 20, Pages 384: Chaotic Attractors with Fractional Conformable Derivatives in the Liouville–Caputo Sense and Its Dynamical Behaviors
Entropy, Vol. 20, Pages 384: Chaotic Attractors with Fractional Conformable Derivatives in the Liouville–Caputo Sense and Its Dynamical Behaviors Entropy doi: 10.3390/e20050384 Authors: Jesús Emmanuel Solís Pérez José Francisco Gómez-Aguilar Dumitru Baleanu Fairouz Tchier This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich&ndash;Fabrikant, Thomas&rsquo; cyclically symmetric attractor and Newton&ndash;Leipnik. Fractional conformable and &beta; -conformable derivatives of Liouville&ndash;Caputo type are considered to solve the proposed systems. A numerical method based on the Adams&ndash;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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