On generalized ψ-conformable calculus: Properties and inequalities

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dc.contributor.authorAzzouz, Noureddine
dc.contributor.authorBenaissa, Bouharket
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:47:54Z
dc.date.available2025-10-11T20:47:54Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we first introduce a new fractional derivatives and integrals called generalized psi-conformable derivative and generalized psi-conformable integral operators, respectively. We also show that these operators generalize various well-known fractional integral operators. Then, we present several properties of these operators including semi-group property. Moreover, we apply these operators to obtain a new Hermite-Hadamard-type inequality for convex functions. Furthermore, we obtain corresponding midpoint and trapezoid type inequalities for functions whose derivatives in absolute value are convex.en_US
dc.identifier.doi10.2298/FIL2425755A
dc.identifier.endpage8772en_US
dc.identifier.issn0354-5180
dc.identifier.issue25en_US
dc.identifier.scopus2-s2.0-85213959651en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage8755en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2425755A
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21639
dc.identifier.volume38en_US
dc.identifier.wosWOS:001389957200001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectFractional conformable integralsen_US
dc.subjectfractional conformable derivativeen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.titleOn generalized ψ-conformable calculus: Properties and inequalitiesen_US
dc.typeArticleen_US

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