Algebraic results on rngs of singular functions

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dc.contributor.authorFernandez, Arran
dc.contributor.authorSaadetoglu, Muge
dc.date.accessioned2026-02-06T18:26:28Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe consider a Mikusinski-type convolution algebra C-alpha , including functions with power-type singularities at the origin as well as all functions continuous on [ 0 , infinity]. Algebraic properties of this space are derived, including its ideal structure, filtered and graded structure, and Jacobson radical. Applications to operators of fractional calculus and the associated integro-differential equations are discussed.
dc.identifier.doi10.1515/forum-2023-0445
dc.identifier.endpage1657
dc.identifier.issn0933-7741
dc.identifier.issn1435-5337
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85184008502
dc.identifier.scopusqualityQ2
dc.identifier.startpage1645
dc.identifier.urihttps://doi.org/10.1515/forum-2023-0445
dc.identifier.urihttps://hdl.handle.net/11129/10484
dc.identifier.volume36
dc.identifier.wosWOS:001154380600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofForum Mathematicum
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectMikusinski's operational calculus
dc.subjectconvolution rings
dc.subjectJacobson radicals
dc.subjectfractional calculus, graded algebra
dc.titleAlgebraic results on rngs of singular functions
dc.typeArticle

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