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Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results

dc.contributor.authorGuirao, Juan L. G.
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAbualrub, Marwan S.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-05-14T08:07:29Z
dc.date.available2024-05-14T08:07:29Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, we have presented two new alternative definitions corresponding to the basic definitions of the discrete delta and nabla fractional difference operators. These definitions and concepts help us in establishing a relationship between Riemann-Liouville and Liouville-Caputo fractional differences of higher orders for both delta and nabla operators. We then propose and analyse some convexity results for the delta and nabla fractional differences of the Riemann-Liouville type. We also derive similar results for the delta and nabla fractional differences of Liouville-Caputo type by using the proposed relationships. Finally, we have presented two examples to confirm the main theorems.en_US
dc.identifier.citationGuirao, Juan L. G.;...et.al. (2022). "Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results", AIMS Mathematics, Vol.7, No.10, pp.18127-18141.en_US
dc.identifier.doi10.3934/math.2022997
dc.identifier.endpage18141en_US
dc.identifier.issn24736988
dc.identifier.issue10en_US
dc.identifier.startpage18127en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8318
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvexity Analysisen_US
dc.subjectLiouville-Caputo Fractional Differenceen_US
dc.subjectRiemann-Liouville Fractional Differenceen_US
dc.titleRelationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity resultstr_TR
dc.titleRelationships Between the Discrete Riemann-Liouville and Liouville-Caputo Fractional Differences and Their Associated Convexity Resultsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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