Anti‐synchronization of chaotic systems using a fractional conformable derivative with power law. (22nd January 2020)

• Record Type: Journal Article
• Authors: Solís‐Pérez, Jesús Emmanuel; Gómez‐Aguilar, José Francisco; Baleanu, Dumitru; Tchier, Fairouz; Ragoub, Lakhdar
• Other Names: Zeidan Dia guestEditor.; Herbst R Sheldon guestEditor.; Lu Tzon‐Tzer guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 10(2021)
• Page Start: 8286
• Page End: 8301
• Publication Date: 2020-01-22
• Subjects: anti‐synchronization -- chaotic systems -- fractional conformable derivative -- fractional derivatives and integrals -- sliding mode control; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5967
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.