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

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dc.contributor.authorKeten, Aysegul
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-02-23T14:35:08Z
dc.date.available2024-02-23T14:35:08Z
dc.date.issued2019
dc.departmentNEÜen_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.identifier.doi10.3390/fractalfract3020027
dc.identifier.issn2504-3110
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85073560905en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract3020027
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15897
dc.identifier.volume3en_US
dc.identifier.wosWOS:000474245900014en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_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 Spacesen_US
dc.typeArticleen_US

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