Generalized Hukuhara diamond-alpha derivative of fuzzy valued functions on time scales
| dc.contributor.author | Bayeg, Selami | |
| dc.contributor.author | Mert, Funda Raziye | |
| dc.date.accessioned | 2026-02-27T07:33:12Z | |
| dc.date.available | 2026-02-27T07:33:12Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In 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.doi | 10.31801/cfsuasmas.1577063 | |
| dc.identifier.endpage | 116 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 103 | |
| dc.identifier.uri | http://dx.doi.org/10.31801/cfsuasmas.1577063 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14669/4486 | |
| dc.identifier.volume | 74 | |
| dc.identifier.wos | WOS:001459014700001 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Ankara University Faculty of Sciences | |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20260302 | |
| dc.subject | Time scale | |
| dc.subject | diamond-alpha derivative | |
| dc.subject | generalized Hukuhara difference | |
| dc.subject | fuzzy differential equations | |
| dc.title | Generalized Hukuhara diamond-alpha derivative of fuzzy valued functions on time scales | |
| dc.type | Article |









