Wirtinger-type inequalities for Caputo fractional derivatives via Taylor's formula

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dc.contributor.authorErden, Samet
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorOzdemir, Burcin Gokkurt
dc.contributor.authorUyanik, Neslihan
dc.date.accessioned2025-10-11T20:48:03Z
dc.date.available2025-10-11T20:48:03Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional Taylor's Formulas. Afterward, we provide a more general inequality involving Caputo fractional derivatives for L-r norm with r>1 via Holder's inequality. Also, similar inequalities for Riemann-Liouville fractional derivatives are presented by means of a relation between Caputo fractional derivatives and Riemann-Liouville fractional derivatives.en_US
dc.description.sponsorshipScientific research projects commission of Bartimath;n University [2020-FEN-A-002]en_US
dc.description.sponsorshipThis work is supported by Scientific research projects commission of Bart & imath;n University (Project no: 2020-FEN-A-002).However, no financial support was received.en_US
dc.identifier.doi10.1186/s13660-024-03194-2
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-024-03194-2
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21736
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001306454300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalitiesand Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectWirtinger inequalityen_US
dc.subjectCaputo fractional derivativesen_US
dc.subjectTaylor's formulaen_US
dc.titleWirtinger-type inequalities for Caputo fractional derivatives via Taylor's formulaen_US
dc.typeArticleen_US

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