Generalized Hukuhara diamond-alpha derivative of fuzzy valued functions on time scales

dc.contributor.authorBayeg, Selami
dc.contributor.authorMert, Funda Raziye
dc.date.accessioned2026-02-27T07:33:12Z
dc.date.available2026-02-27T07:33:12Z
dc.date.issued2025
dc.description.abstractIn the literature, the delta and nabla derivatives have been considered separately in the study of fuzzy number valued functions on time scales. In this paper, to unify these two derivatives for fuzzy number valued functions, we propose a new dynamic derivative called the diamond-alpha derivative, defined via the generalized Hukuhara difference. We establish several fundamental properties of the diamond-alpha derivative and investigate a particular class of fuzzy initial value problems on time scales with respect to this new derivative. Additionally, we provide numerical examples to illustrate our results.
dc.identifier.doi10.31801/cfsuasmas.1577063
dc.identifier.endpage116
dc.identifier.issn1303-5991
dc.identifier.issue1
dc.identifier.startpage103
dc.identifier.urihttp://dx.doi.org/10.31801/cfsuasmas.1577063
dc.identifier.urihttps://hdl.handle.net/20.500.14669/4486
dc.identifier.volume74
dc.identifier.wosWOS:001459014700001
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara University Faculty of Sciences
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20260302
dc.subjectTime scale
dc.subjectdiamond-alpha derivative
dc.subjectgeneralized Hukuhara difference
dc.subjectfuzzy differential equations
dc.titleGeneralized Hukuhara diamond-alpha derivative of fuzzy valued functions on time scales
dc.typeArticle

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