Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

Abdelhameed M. Nagy, Abdellatif Ben Makhlouf, Abdulaziz Alsenafi and Fares Alazemi
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Abdelhameed M. Nagy: Department of Mathematics, Faculty of Science, Kuwait University, Safat 13060, Kuwait
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

Mathematics, 2021, vol. 9, issue 21, 1-14

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.

Keywords: fractional-order systems; Caputo–Hadamard derivative; combination synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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