Baleanu, DumitruAkgul, Ali02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-03-172025-09-182022-03-172025-09-182021Akgül, Ali; Baleanu, Dumitru (2021). "Analysis and applications of the proportional Caputo derivative", Advances in Difference Equations, Vol. 2021, No. 1.1687-1847https://doi.org/10.1186/s13662-021-03304-0https://hdl.handle.net/20.500.12416/13880In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.eninfo:eu-repo/semantics/openAccessArticle10.1186/s13662-021-03304-02-s2.0-85101736606