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Mathematics
Article . 2021 . Peer-reviewed
License: CC BY
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Mathematics
Article
License: CC BY
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Mathematics
Article . 2021
Data sources: DOAJ
https://dx.doi.org/10.3390/mat...
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Multidisciplinary Digital Publishing Institute
Other literature type . 2021
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 02 Nov 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,781 (eissn: 2227-7390, Copyright policy )
Authors: Abdelhameed M. Nagy; Abdellatif Ben Makhlouf; Abdulaziz Alsenafi; Fares Alazemi;

doi: 10.3390/math9212781

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

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.

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Keywords

Caputo–Hadamard derivative, fractional-order systems, QA1-939, combination synchronization, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
gold