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Browsing by Author "Chen, Fu-Lai"

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    Article
    Citation - WoS: 166
    Citation - Scopus: 174
    Chaos Synchronization of Fractional Chaotic Maps Based on the Stability Condition
    (Elsevier Science Bv, 2016) Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai; Wu, Guo-Cheng; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of Riemann-Liouville type are proposed in this paper. The general chaotic behaviors are investigated in comparison with the Caputo one. Chaos synchronization is designed according to the stability results. The numerical results show the method's effectiveness and fractional chaotic map's potential role for secure communication. (C) 2016 Published by Elsevier B.V.
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    Citation - WoS: 162
    Citation - Scopus: 182
    Stability Analysis of Caputo-Like Discrete Fractional Systems
    (Elsevier, 2017) Wu, Guo-Cheng; Bai, Yun-Ru; Chen, Fu-Lai; Baleanu, Dumitru; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time. (C) 2017 Elsevier B.V. All rights reserved.