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Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces

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dc.authoridKeten Copur, Aysegul/0000-0002-7973-946X
dc.authoridYavuz, Mehmet/0000-0002-3966-6518
dc.authorscopusid57214299996
dc.authorscopusid57196455753
dc.authorscopusid7005872966
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidKeten Copur, Aysegul/Aac-9778-2022
dc.authorwosidYavuz, Mehmet/G-9422-2018
dc.contributor.authorKeten, Aysegul
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-27T12:17:00Z
dc.date.available2019-12-27T12:17:00Z
dc.date.issued2019
dc.departmentÇankaya Universityen_US
dc.department-temp[Keten, Aysegul; Yavuz, Mehmet] Necmettin Erbakan Univ, Fac Sci, Dept Math Comp, TR-42090 Konya, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, RO-077125 Bucharest, Romaniaen_US
dc.descriptionKeten Copur, Aysegul/0000-0002-7973-946X; Yavuz, Mehmet/0000-0002-3966-6518en_US
dc.description.abstractWe investigated existence and uniqueness conditions of solutions of a nonlinear differential equation containing the Caputo-Fabrizio operator in Banach spaces. The mentioned derivative has been proposed by using the exponential decay law and hence it removed the computational complexities arising from the singular kernel functions inherit in the conventional fractional derivatives. The method used in this study is based on the Banach contraction mapping principle. Moreover, we gave a numerical example which shows the applicability of the obtained results.en_US
dc.description.publishedMonth6
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationKeten, Aysegul; Yavuz, Mehmet; Baleanu, Dumitru, "Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces", Fractal and Fractional, Vol. 3, No. 2, (June 2019)en_US
dc.identifier.doi10.3390/fractalfract3020027
dc.identifier.issn2504-3110
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85073560905
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract3020027
dc.identifier.volume3en_US
dc.identifier.wosWOS:000474245900014
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExistence-Uniqueness Conditionsen_US
dc.subjectNonlocal Cauchy Problemen_US
dc.subjectCaputo-Fabrizio Fractional Derivativeen_US
dc.subjectBanach Spaceen_US
dc.titleNonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spacestr_TR
dc.titleNonlocal Cauchy Problem Via a Fractional Operator Involving Power Kernel in Banach Spacesen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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