Extension of Milne-type inequalities to Katugampola fractional integrals

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dc.contributor.authorLAKHDARI Abdelghani
dc.date.accessioned2025-09-17T13:18:59Z
dc.date.available2025-09-17T13:18:59Z
dc.date.issued2024
dc.description(2024) 2024:100 https://doi.org/10.1186/s13661-024-01909-4
dc.description.abstractThis study explores the extension of Milne-type inequalities to the realm of Katugampola fractional integrals, aiming to broaden the analytical tools available in fractional calculus. By introducing a novel integral identity, we establish a series of Milne-type inequalities for functions possessing extended s-convex first-order derivatives. Subsequently, we present an illustrative example complete with graphical representations to validate our theoretical findings. The paper concludes with practical applications of these inequalities, demonstrating their potential impact across various fields of mathematical and applied sciences.
dc.identifier.urihttp://dspace.ensti-annaba.dz:4000/handle/123456789/869
dc.language.isoen
dc.publisherBoundary Value Problems
dc.subjectKatugampola fractional integral operators
dc.subjectMilne-type inequalities
dc.subjectConvex functions
dc.subjectP-functions
dc.subjects-Godunova-Levin functions
dc.subjectExtended s-convex functions
dc.titleExtension of Milne-type inequalities to Katugampola fractional integrals
dc.typeArticle
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