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Discrete fractional calculus for interval-valued systems

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dc.authoridWu, Guo-Cheng/0000-0002-1946-6770
dc.authorscopusid56141860200
dc.authorscopusid23390775700
dc.authorscopusid7005872966
dc.authorscopusid10139871800
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidWu, Guo-Cheng/T-9088-2017
dc.contributor.authorHuang, Lan-Lan
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorWu, Guo-Cheng
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorWang, Hong-Yong
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-04-06T11:21:02Z
dc.date.available2022-04-06T11:21:02Z
dc.date.issued2021
dc.departmentÇankaya Universityen_US
dc.department-temp[Huang, Lan-Lan; Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Wang, Hong-Yong] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210046, Peoples R Chinaen_US
dc.descriptionWu, Guo-Cheng/0000-0002-1946-6770en_US
dc.description.abstractThis study investigates linear fractional difference equations with respect to interval-valued functions. Caputo and Riemann-Liouville differences are defined. w-monotonicity is introduced and discrete Leibniz integral laws are provided. Then exact solutions of two linear equations are obtained by Picard's iteration. In comparison with the deterministic initial problems, the solutions are given in discrete Mittag-Leffler functions with and without delay, respectively. This paper provides a novel tool to understand fractional uncertainty problems on discrete time domains. (C) 2020 Elsevier B.V. All rights reserved.en_US
dc.description.publishedMonth2
dc.description.sponsorshipSichuan Science and Technology Support Program [2017JY0199, 2018JY0120]; Scientific and Technological Research Council of Turkey (TUBTAK) [TBAG-117F473]en_US
dc.description.sponsorshipThis study was financially supported by Sichuan Science and Technology Support Program (Grant Nos. 2017JY0199 and 2018JY0120). Dumitru Baleanu is supported by the Scientific and Technological Research Council of Turkey (TUBTAK) (Grant No. TBAG-117F473).en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationHuang, Lan-Lan...et al. (2021). "Discrete fractional calculus for interval-valued systems", Fuzzy Sets and Systems, Vol. 404, pp. 141-158.en_US
dc.identifier.doi10.1016/j.fss.2020.04.008
dc.identifier.endpage158en_US
dc.identifier.issn0165-0114
dc.identifier.issn1872-6801
dc.identifier.scopus2-s2.0-85083527866
dc.identifier.scopusqualityQ2
dc.identifier.startpage141en_US
dc.identifier.urihttps://doi.org/10.1016/j.fss.2020.04.008
dc.identifier.volume404en_US
dc.identifier.wosWOS:000589573200007
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Difference Equationsen_US
dc.subjectInterval-Valued Functionsen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.titleDiscrete fractional calculus for interval-valued systemstr_TR
dc.titleDiscrete Fractional Calculus for Interval-Valued Systemsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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