NEW FRACTIONAL INTEGRAL EXTENSIONS FOR INEQUALITIES INVOLVING MONOTONE FUNCTIONS

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dc.contributor.authorDahmani, Zoubir
dc.contributor.authorKaddar, Djamal
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2025-10-11T20:45:33Z
dc.date.available2025-10-11T20:45:33Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper extends classical results on integral inequalities involving monotone functions to the domain of Riemann-Liouville fractional integrals with positive arbitrary order a . By employing a unified framework, our approach provides a more generalized understanding of the interplay between monotonicity and integrability in the case of fractional integration. We review classical results, introduce Riemann-Liouville integrals, and establish the fractional integral extensions. Our main results are presented, with discussions on their applications, contributing to a broader comprehension of this type of inequalities in mathematical analysis and its applications. © 2025 Elsevier B.V., All rights reserved.en_US
dc.identifier.doi10.7153/fdc-2024-14-11
dc.identifier.endpage254en_US
dc.identifier.issn1847-9677
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85214575623en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage247en_US
dc.identifier.urihttps://doi.org/10.7153/fdc-2024-14-11
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21427
dc.identifier.volume14en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElement D.O.O.en_US
dc.relation.ispartofFractional Differential Calculusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_Scopus_20250911
dc.subjectIntegral Inequalityen_US
dc.subjectMonotone Functionen_US
dc.subjectRiemann-liouville Integralen_US
dc.titleNEW FRACTIONAL INTEGRAL EXTENSIONS FOR INEQUALITIES INVOLVING MONOTONE FUNCTIONSen_US
dc.typeArticleen_US

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