Generalized AB-Fractional Operator Inclusions of Hermite-Hadamard's Type via Fractional Integration

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dc.authoridBin-Mohsin, Bandar/0000-0002-2160-4159en_US
dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485en_US
dc.authoridNoor, Muhammad/0000-0001-6105-2435en_US
dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authoridMihai, Marcela/0000-0002-4864-8899en_US
dc.authorscopusid53879358800en_US
dc.authorscopusid56018634500en_US
dc.authorscopusid57221781447en_US
dc.authorscopusid55582438900en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid55177773000en_US
dc.authorscopusid7102422868en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidBin-Mohsin, Bandar/C-7273-2018en_US
dc.authorwosidAwan, Muhammad Uzair/O-2382-2015en_US
dc.authorwosidKhan, Awais/JHT-9826-2023en_US
dc.authorwosidNoor, Muhammad/AAF-1238-2019en_US
dc.authorwosidJaved, Muhammad Zakria/KXR-4163-2024en_US
dc.contributor.authorBin-Mohsin, Bandar
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorKhan, Awais Gul
dc.contributor.authorBudak, Huseyin
dc.contributor.authorMihai, Marcela V.
dc.contributor.authorNoor, Muhammad Aslam
dc.date.accessioned2024-08-23T16:03:36Z
dc.date.available2024-08-23T16:03:36Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set of fractional operators is introduced that uses the extended generalized Mittag-Leffler function E-mu,alpha,l(gamma,delta, k,c) (tau; p) as a kernel in the interval domain. Additionally, a new form of Atangana-Baleanu operator is defined using the same kernel, which unifies multiple existing integral operators. By varying the parameters in E-mu,alpha,l(gamma,delta, k,c)(tau; p), several new fractional operators are obtained. This study then utilizes the generalized AB integral operators and the preinvex interval-valued property of functions to establish new Hermite-Hadamard, Pachapatte, and Hermite-Hadamard-Fejer inequalities. The results are supported by numerical examples, graphical illustrations, and special cases.en_US
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP2023R158]en_US
dc.description.sponsorshipThis Research is supported by Researchers Supporting Project number (RSP2023R158), King Saud University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.3390/sym15051012
dc.identifier.issn2073-8994
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85160571251en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym15051012
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13803
dc.identifier.volume15en_US
dc.identifier.wosWOS:000997817600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectpachpatte inequalityen_US
dc.subjectMittag-Leffleren_US
dc.subjectfractional integralsen_US
dc.subjectpreinvex functionen_US
dc.subjectFejeren_US
dc.subjectConvex-Functionsen_US
dc.subjectInequalitiesen_US
dc.titleGeneralized AB-Fractional Operator Inclusions of Hermite-Hadamard's Type via Fractional Integrationen_US
dc.typeArticleen_US

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