Bayeg, SelamiMert, Funda Raziye2026-02-272026-02-2720251303-599110.31801/cfsuasmas.1577063http://dx.doi.org/10.31801/cfsuasmas.1577063https://hdl.handle.net/20.500.14669/4486In 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.eninfo:eu-repo/semantics/openAccessTime scalediamond-alpha derivativegeneralized Hukuhara differencefuzzy differential equationsArticle116110374WOS:001459014700001