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Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types

dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorElattar, Ehab E.
dc.contributor.authorHamed, Y. S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-05-08T08:23:41Z
dc.date.available2024-05-08T08:23:41Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we investigate some new positivity and negativity results for some families of discrete delta fractional difference operators. A basic result is an identity which will prove to be a useful tool for establishing the main results. Our first main result considers the positivity and negativity of the discrete delta fractional difference operator of the Riemann-Liouville type under two main conditions. Similar results are then obtained for the discrete delta fractional difference operator of the Liouville-Caputo type. Finally, we provide a specific example in which the chosen function becomes nonincreasing on a time set.en_US
dc.identifier.citationMohammed, Pshtiwan Othman;...et.al. (2022). "Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types", Electronic Research Archive, Vol.30, No.8, pp.3058-3070.en_US
dc.identifier.doi10.3934/era.2022155
dc.identifier.endpage3070en_US
dc.identifier.issn2688-1594
dc.identifier.issue8en_US
dc.identifier.startpage3058en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8174
dc.identifier.volume30en_US
dc.language.isoenen_US
dc.relation.ispartofElectronic Research Archiveen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.subjectDiscrete Riemann-Liouville Operatorsen_US
dc.subjectDiscrete Liouville-Caputo Fractional Operatorsen_US
dc.subjectMonotonicity And Positivityen_US
dc.titlePositivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo typestr_TR
dc.titlePositivity Analysis for the Discrete Delta Fractional Differences of the Riemann-Liouville and Liouville-Caputo Typesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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