Lyapunov-Type and Hartman-Wintner-Type Inequalities for a Class of Composite Fractional Integral Operators

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dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2026-07-01T11:39:19Z
dc.date.available2026-07-01T11:39:19Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this paper, we establish Lyapunov-type and Hartman-Wintner-type integral inequalities for boundary value problems involving a class of composite fractional integral operators. By employing an explicit Green function representation and sharp uniform bounds for the associated kernel, we derive necessary conditions for the existence of nontrivial solutions. A distinctive feature of the obtained results is the higher-order scaling behavior induced by the interaction of left- and right-sided components of the operator, which cannot be observed in classical one-sided fractional models. As applications, we obtain quantitative nonexistence criteria and explicit lower bounds for the principal eigenvalue of the corresponding eigenvalue problem. These estimates extend classical results to a higher-order fractional framework and highlight the influence of the domain geometry on the stability of the solutions.
dc.identifier.doi10.3390/fractalfract10050323
dc.identifier.issn2504-3110
dc.identifier.issue5
dc.identifier.scopus2-s2.0-105040064993
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract10050323
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23237
dc.identifier.volume10
dc.identifier.wosWOS:001775305800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleLyapunov-Type and Hartman-Wintner-Type Inequalities for a Class of Composite Fractional Integral Operators
dc.typeArticle

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