Error Bounds for Fractional Integral Inequalities with Applications

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dc.authoridNaeem, Muhammad/0000-0002-7414-722Xen_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid58922721400en_US
dc.authorscopusid55364029600en_US
dc.authorscopusid58307603100en_US
dc.authorscopusid57225467772en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidNaeem, Muhammad/HTO-5972-2023en_US
dc.contributor.authorAlqahtani, Nouf Abdulrahman
dc.contributor.authorQaisar, Shahid
dc.contributor.authorMunir, Arslan
dc.contributor.authorNaeem, Muhammad
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite-Hadamard, and Simpson's type estimates by employing a differentiable function. Furthermore, a novel class of fractional integral related to prominent fractional operator (Caputo-Fabrizio) for differentiable convex functions of first order is proven. Then, taking this equality into account as an auxiliary result, some new estimation of the Hermite-Hadamard and Simpson's type inequalities as generalization is presented. Moreover, few inequalities for concave function are obtained as well. It is observed that newly established outcomes are the extension of comparable inequalities existing in the literature. Additionally, we discuss the applications to special means, matrix inequalities, and the q-digamma function.en_US
dc.identifier.doi10.3390/fractalfract8040208
dc.identifier.issn2504-3110
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85191330759en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract8040208
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13819
dc.identifier.volume8en_US
dc.identifier.wosWOS:001220197600001en_US
dc.identifier.wosqualityN/Aen_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.subjectMilne-type inequalitiesen_US
dc.subjects-convex functionen_US
dc.subjectfractional integralsen_US
dc.subjectH & ouml;lder inequalityen_US
dc.subjectbounded functionen_US
dc.subjectConvex-Functionsen_US
dc.subjectModelsen_US
dc.titleError Bounds for Fractional Integral Inequalities with Applicationsen_US
dc.typeArticleen_US

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