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Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

Author

Listed:
  • Abdelhameed M. Nagy

    (Department of Mathematics, Faculty of Science, Kuwait University, Safat 13060, Kuwait
    Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt)

  • Abdellatif Ben Makhlouf

    (Department of Mathematics, College of Science, Jouf University, Sakaka 72388, Saudi Arabia)

  • Abdulaziz Alsenafi

    (Department of Mathematics, Faculty of Science, Kuwait University, Safat 13060, Kuwait)

  • Fares Alazemi

    (Department of Mathematics, Faculty of Science, Kuwait University, Safat 13060, Kuwait)

Abstract

The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one response system. We show that the combination synchronization phenomenon is achieved theoretically. Moreover, numerical simulations are carried out to confirm and validate the obtained theoretical results.

Suggested Citation

  • Abdelhameed M. Nagy & Abdellatif Ben Makhlouf & Abdulaziz Alsenafi & Fares Alazemi, 2021. "Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative," Mathematics, MDPI, vol. 9(21), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2781-:d:670739
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    References listed on IDEAS

    as
    1. Runzi, Luo & Zhengmin, Wei, 2009. "Adaptive function projective synchronization of unified chaotic systems with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1266-1272.
    2. Yong Chen & Xin Li, 2007. "Function Projective Synchronization Between Two Identical Chaotic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 883-888.
    3. Li, Guo-Hui, 2007. "Modified projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1786-1790.
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