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Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique

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dc.contributor.author Wu, Guo-Cheng
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Liu, Jinliang
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Wu, Kai-Teng
dc.date.accessioned 2020-01-15T14:02:28Z
dc.date.available 2020-01-15T14:02:28Z
dc.date.issued 2019
dc.identifier.citation Wu, Guo-Cheng...et al. (2019). "Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique", Nonlinear Analysis-Modelling and Control, Vol. 24, No. 6, pp. 919-936. tr_TR
dc.identifier.issn 1392-5113
dc.identifier.uri http://hdl.handle.net/20.500.12416/2357
dc.description.abstract A class of semilinear fractional difference equations is introduced in this paper. The fixed point theorem is adopted to find stability conditions for fractional difference equations. The complete solution space is constructed and the contraction mapping is established by use of new equivalent sum equations in form of a discrete Mittag-Leffler function of two parameters. As one of the application, finite-time stability is discussed and compared. Attractivity of fractional difference equations is proved, and Mittag-Leffler stability conditions are provided. Finally, the stability results are applied to fractional discrete-time neural networks with and without delay, which show the fixed point technique's efficiency and convenience. tr_TR
dc.language.iso eng tr_TR
dc.publisher Inst Mathematics & Informatics tr_TR
dc.relation.isversionof 10.15388/NA.2019.6.5 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Difference Equations tr_TR
dc.subject Fractional Discrete-Time Neural Networks tr_TR
dc.subject Mittag-Leffler Stability tr_TR
dc.title Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique tr_TR
dc.type article tr_TR
dc.relation.journal Nonlinear Analysis-Modelling and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 24 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 919 tr_TR
dc.identifier.endpage 936 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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