Matematik Bölümü

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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; Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü
    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.