Jarad, FahdAbdeljawad, ThabetBaleanu, Dumitru2022-11-172022-11-172017Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (2017). "On the generalized fractional derivatives and their Caputo modification", JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, Vol. 10, No. 5, pp. 2607-2619.2008-18982008-1901https://hdl.handle.net/20.500.12416/5870In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo version.eninfo:eu-repo/semantics/openAccessRiemann-Liouville Fractional DerivativesCaputo Fractional DerivativesHadamard Fractional DerivativesCaputo-Hadamard Fractional DerivativesGeneralized Fractional IntegralGeneralized Caputo Fractional DerivativesArticle10.22436/jnsa.010.05.27