On multiplicative conformable fractional integrals: theory and applications

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dc.contributor.authorBudak, Huseyin
dc.contributor.authorErgun, Busra Betul
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined multiplicative conformable fractional integrals. Then, we establish the Hermite-Hadamard inequalities in three distinct senses for multiplicative conformable fractional integrals. Moreover, we present several corresponding midpoint and trapezoidal inequalities for the obtained Hermite-Hadamard inequalities including multiplicative conformable fractional integrals. By special cases, we present the relations between newly obtained inequalities for multiplicative conformable fractional integrals and existing results for multiplicative Riemann-Liouville fractional integrals and multiplicative integrals. Furthermore, we give some new Hermite-Hadamard type, trapezoid type and midpoint type inequalities or multiplicative Riemann-Liouville fractional integrals. Finally, we give several examples and 3D graphs to illustrate the main results.en_US
dc.identifier.doi10.1186/s13661-025-02026-6
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85219599305en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-025-02026-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21725
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001434909300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectMultiplicative calculusen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectConformable fractional integralsen_US
dc.titleOn multiplicative conformable fractional integrals: theory and applicationsen_US
dc.typeArticleen_US

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