Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control

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dc.contributor.authorHymavathi, M.
dc.contributor.authorIbrahim, Tarek F.
dc.contributor.authorAli, M. Syed
dc.contributor.authorStamov, Gani
dc.contributor.authorStamova, Ivanka
dc.contributor.authorYounis, B. A.
dc.contributor.authorOsman, Khalid I.
dc.date.accessioned2022-10-26T11:08:28Z
dc.date.available2022-10-26T11:08:28Z
dc.date.issued2022-10-21
dc.date.updated2022-10-26T11:08:29Z
dc.description.abstractThis paper introduces a novel synchronization scheme for fractional-order neural networks with time delays and reaction-diffusion terms via pinning control. We consider Caputo fractional derivatives, constant delays and distributed delays in our model. Based on the stability behavior, fractional inequalities and Lyapunov-type functions, several criteria are derived, which ensure the achievement of a synchronization for the drive-response systems. The obtained criteria are easy to test and are in the format of inequalities between the system parameters. Finally, numerical examples are presented to illustrate the results. The obtained criteria in this paper consider the effect of time delays as well as the reaction-diffusion terms, which generalize and improve some existing results.
dc.description.departmentMathematics
dc.identifierdoi: 10.3390/math10203916
dc.identifier.citationMathematics 10 (20): 3916 (2022)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/1154
dc.rightsAttribution 4.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectsynchronization
dc.subjectneural network models
dc.subjectfractional derivatives
dc.subjecttime delays
dc.subjectreaction-diffusion terms
dc.subjectpinning control
dc.titleSynchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control
dc.typeArticle

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