New insights on fractal-fractional integral inequalities: Hermite-Hadamard and Milne estimates

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dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.authoridLakhdari, Abdelghani/0000-0003-2943-2678
dc.contributor.authorLakhdari, Abdelghani
dc.contributor.authorBudak, Huseyin
dc.contributor.authorMlaiki, Nabil
dc.contributor.authorMeftah, Badreddine
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2025-10-11T20:48:36Z
dc.date.available2025-10-11T20:48:36Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper investigates fractal-fractional integral inequalities for generalized s-convex functions. We begin by establishing a fractal-fractional Hermite-Hadamard inequality for such functions. In addition, a novel identity is introduced, which serves as the basis for deriving some fractal-fractional Milne-type inequalities for functions whose first-order local fractional derivatives exhibit generalized s-convexity. Subsequently, we provide additional results using the improved generalized H & ouml;lder and power mean inequalities, followed by a numerical example with graphical representations that confirm the accuracy of the obtained results. The study concludes with several applications to demonstrate the practicality and relevance of the proposed inequalities in various settings.en_US
dc.description.sponsorshipPrince Sultan Universityen_US
dc.description.sponsorshipThe authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions. T. Abdeljawad would like to thank Prince Sultan University for the support through TAS research lab.en_US
dc.identifier.doi10.1016/j.chaos.2025.116087
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85217278504en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2025.116087
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22009
dc.identifier.volume193en_US
dc.identifier.wosWOS:001426536300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectFractal-fractional integralsen_US
dc.subjectGeneralized s-convexityen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectMilne inequalityen_US
dc.subjectFractal seten_US
dc.titleNew insights on fractal-fractional integral inequalities: Hermite-Hadamard and Milne estimatesen_US
dc.typeArticleen_US

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