A new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite-Hadamard-Type Inequalities with Applications

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dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorMichal Fe_kan
dc.contributor.authorChanon Promsakon
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM. Fe_kan; Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Bratislava, Mlynsk‡ dolina, 842 48, Slovakia; email: michal.feckan@fmph.uniba.sk
dc.date.accessioned2025-03-10T07:34:21Z
dc.date.available2025-03-10T07:34:21Z
dc.date.issued2024
dc.description.abstractThe primary goal of this paper is to define Katugampola fractional integrals in multiplicative calculus. A novel method for generalizing the multiplicative fractional integrals is the Katugampola fractional integrals in multiplicative calculus. The multiplicative Hadamard fractional integrals are also novel findings of this research and may be derived from the special situations of Katugampola fractional integrals. These integrals generalize to multiplicative Riemann-Liouville fractional integrals and multiplicative Hadamard fractional integrals. Moreover, we use the Katugampola fractional integrals to prove certain new Hermite-Hadamard and trapezoidal-type inequalities for multiplicative convex functions. Additionally, it is demonstrated that several of the previously established inequalities are generalized from the newly derived inequalities. Finally, we give some computational analysis of the inequalities proved in this paper. © 2024 Mathematical Institute Slovak Academy of Sciences.
dc.identifier.citationMathematica Slovaca
dc.identifier.doi10.1515/ms-2024-0105
dc.identifier.issn1399918
dc.identifier.scopus2-s2.0-85217052140
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4511
dc.languageEnglish
dc.publisherWalter de Gruyter GmbH
dc.rights.holderScopus
dc.subjectconvex functions
dc.subjectHermite-Hadamard inequality
dc.subjectmultiplicative calculus
dc.titleA new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite-Hadamard-Type Inequalities with Applications
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85217052140&doi=10.1515%2fms-2024-0105&partnerID=40&md5=30044e2309cec3f7e0abda0e4ed6ef0c
oaire.citation.endPage1456
oaire.citation.issue6
oaire.citation.startPage1445
oaire.citation.volume74
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