Generalized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functions

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dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authoridHezenci, Fatih/0000-0003-1008-5856
dc.authoridHyder, Abd-Allah/0000-0001-9273-9512
dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:47:48Z
dc.date.available2025-10-11T20:47:48Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis study presents novel formulations of fractional integral inequalities, formulated using generalized fractional integral operators and the exploration of convexity properties. A key identity is established for twice-differentiable functions with the absolute value of their second derivative being convex. Using this identity, several generalized fractional Hermite-Hadamard-type inequalities are developed. These inequalities extend the classical midpoint and trapezoidal-type inequalities, while offering new perspectives through convexity properties. Also, some special cases align with known results, and an illustrative example, accompanied by a graphical representation, is provided to demonstrate the practical relevance of the results. Moreover, the findings may offer potential applications in numerical integration, optimization, and fractional differential equations, illustrating their relevance to various areas of mathematical analysis.en_US
dc.description.sponsorshipKing Khalid Universityen_US
dc.description.sponsorshipPrincess Nourah bint Abdulrahman University [PNURSP2025R337]en_US
dc.description.sponsorship[RGP.2/82/45]en_US
dc.description.sponsorshipThis research was funded by King Khalid University, Grant (RGP.2/82/45) and Princess Nourah bint Abdulrahman University, Grant (PNURSP2025R337).en_US
dc.identifier.doi10.3390/fractalfract9020097
dc.identifier.issn2504-3110
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85218853579en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract9020097
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21568
dc.identifier.volume9en_US
dc.identifier.wosWOS:001430953900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractaland Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectgeneralized fractional operatorsen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectconvex functionsen_US
dc.titleGeneralized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functionsen_US
dc.typeArticleen_US

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