Browsing by Author "Solis Perez, Jesus Emmanuel"

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Citation Count: Solís-Pérez, J.E...et al. (2020). "Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law",Mathematical Methods in the Applied Sciences.
Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law
(John Wiley and Sons LTD., 2020) Solis Perez, Jesus Emmanuel; Gomez Aguilar, Jose Francisco; Baleanu, Dumitru; Tchier, Fairouz; Ragoub, Lakhdar; 56389
In this paper, we propose a new numerical method based on two-step Lagrange polynomial interpolation to get numerical simulations and adaptive anti-synchronization schemes for two fractional conformable attractors of variable order. It was considered the fractional conformable derivative in Liouville-Caputo sense. The novel numerical method was applied to derive new results from the anti-synchronization of the identical uncertain Wang-Sun attractors and three-dimensional chaotic system using fractional conformable sliding mode control. Numerical examples show the effectiveness of the adaptive fractional conformable anti-synchronization schemes for the uncertain chaotic systems considered in this paper.
Citation Count: 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).
Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors
(MDPI, 2018) Solis Perez, Jesus Emmanuel; Francisco Gomez-Aguilar, Jose; Baleanu, Dumitru; Tchier, Fairouz; 56389
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.