On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms

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dc.contributor.authorPriya, Bandana
dc.contributor.authorThakur, Ganesh Kumar
dc.contributor.authorAli, M. Syed
dc.contributor.authorStamov, Gani
dc.contributor.authorStamova, Ivanka
dc.contributor.authorSharma, Pawan Kumar
dc.date.accessioned2022-07-25T16:32:42Z
dc.date.available2022-07-25T16:32:42Z
dc.date.issued2022-06-30
dc.date.updated2022-07-25T16:32:43Z
dc.description.abstractThis study investigates the problem of finite-time boundedness of a class of neural networks of Caputo fractional order with time delay and uncertain terms. New sufficient conditions are established by constructing suitable Lyapunov functionals to ensure that the addressed fractional-order uncertain neural networks are finite-time stable. Criteria for finite-time boundedness of the considered fractional-order uncertain models are also achieved. The obtained results are based on a newly developed property of Caputo fractional derivatives, properties of Mittag–Leffler functions and Laplace transforms. In addition, examples are developed to manifest the usefulness of our theoretical results.
dc.description.departmentMathematics
dc.identifierdoi: 10.3390/fractalfract6070368
dc.identifier.citationFractal and Fractional 6 (7): 368 (2022)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/1065
dc.rightsAttribution 4.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectneural networks
dc.subjectfractional order
dc.subjecttime delay
dc.subjectuncertain parameters
dc.subjectfinite-time stability
dc.subjectfinite-time boundedness
dc.titleOn the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms
dc.typeArticle

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