Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorDong, Nguyen Phuong
dc.contributor.authorSon, Nguyen Thi Kim
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorTam, Ha Thi Thanh
dc.date.accessioned2022-06-07T08:02:57Z
dc.date.available2022-06-07T08:02:57Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, based on the concept of the granular Caputo fractional derivative, a class of fuzzy fractional differential systems with finite-time delay is investigated. We firstly introduce the concept of Mittag-Leffler type matrix function generated by a square fuzzy matrix. Then through Laplace transform, we construct the explicit formula of mild solutions to the problem. Applying Banach contraction principle, the existence and uniqueness of fuzzy mild solution of the problem are shown. Secondly, utilizing Jensen inequality, Hölder inequality and Gronwall inequality, we establish sufficient conditions to guarantee for finite-time stability results of the considered problem. Especially, these conditions are obtained without Lipschitz property of the function f containing delay term. Finally, we have also illustrated the theoretical results by an numerical example. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.en_US
dc.identifier.citationDong, N. P., Son, N. T. K., Allahviranloo, T., & Tam, H. T. T. (2022). Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing. Granular Computing, doi:10.1007/s41066-022-00325-2en_US
dc.identifier.doi10.1007/s41066-022-00325-2en_US
dc.identifier.issn2364-4966en_US
dc.identifier.scopus2-s2.0-85129173215en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s41066-022-00325-2
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2816
dc.identifier.wosWOS:000789086500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofGranular Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite-Time Stabilityen_US
dc.subjectGranular Differentiabilityen_US
dc.subjectHorizontal Membership Functionen_US
dc.subjectTime-Delay Fuzzy Fractional Differential Equationsen_US
dc.titleFinite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computingen_US
dc.typeArticleen_US

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