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Generalized fractional heat equation in extended Colombeau algebras

dc.contributor.authorBenmerrous, Abdelmjiden_US
dc.contributor.authorChadli, Lalla Saadiaen_US
dc.contributor.authorElomari, M’hameden_US
dc.date.accessioned2026-01-05T06:04:05Z
dc.date.available2026-01-05T06:04:05Z
dc.date.issued2026-01-01
dc.identifier.citationBenmerrous, A., Chadli, L. S. & El Omari, M. (2026). Generalized fractional heat equation in extended Colombeau algebras. TWMS Journal of Applied and Engineering Mathematics, 16(1), 16-31.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/139-vol16no1/1541
dc.identifier.urihttps://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/7151
dc.description.abstractIn this paper, we use the Colombeau generalized algebra to prove the existence and uniqueness of the solution of fractional heat equation with singular potentials (i.e., singular distributions). The concept of a generalized fractional semigroup was used to prove the result.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectHeat equationen_US
dc.subjectCaputo derivativeen_US
dc.subjectGeneralised solutionen_US
dc.subjectSemigroupen_US
dc.subjectSingular potentialen_US
dc.titleGeneralized fractional heat equation in extended Colombeau algebrasen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.authorid0000-0001-9620-8161
dc.authorid0000-0002-0659-8774
dc.authorid0000-0003-0336-9092
dc.identifier.volume16
dc.identifier.issue1
dc.identifier.startpage16
dc.identifier.endpage31
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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