DC FieldValueLanguage
dc.contributor.authorVarun Bose, Chandrabose Sindhuen_US
dc.contributor.authorUdhayakumar, Ramalingamen_US
dc.contributor.authorSavatović, Milicaen_US
dc.contributor.authorDeiveegan, Arumugamen_US
dc.contributor.authorTodorčević, Vesnaen_US
dc.contributor.authorRadenović, Stojanen_US
dc.date.accessioned2023-11-23T15:05:19Z-
dc.date.available2023-11-23T15:05:19Z-
dc.date.issued2023-
dc.identifier.issn2504-3110-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/5223-
dc.description.abstractIn this study, we present a mild solution to the Hilfer fractional differential equations with infinite delay. Firstly, we establish the results on an infinite interval; to achieve this, we use the generalized Ascoli–Arzelà theorem and Mönch’s fixed point theorem via a measure of noncompactness. Secondly, we consider the existence of a mild solution when the semigroup is compact, and the Schauder fixed-point theorem is used. The outcome is demonstrated using an infinitesimal operator, fractional calculus, semigroup theory, and abstract space. Finally, we present an example to support the results.en_US
dc.publisherMDPIen_US
dc.relation.ispartofFractal and Fractionalen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectfixed-point theorem | Hilfer fractional derivative | infinite interval | mild solutionen_US
dc.titleExistence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Intervalen_US
dc.typeArticleen_US
dc.identifier.doi10.3390/fractalfract7100724-
dc.identifier.scopus2-s2.0-85175162568-
dc.contributor.affiliationMathematicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.firstpage724-
dc.relation.issue10-
dc.relation.volume7-
dc.description.rank~M21a-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextWith Fulltext-
crisitem.author.orcid0000-0001-6206-3961-
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