Bugajewska, Daria; Zima, Mirosława On positive solutions of nonlinear fractional differential equations. (English) Zbl 1061.34002 Discrete Contin. Dyn. Syst. 2003, Suppl. Vol., 141-146 (2003). The paper considers the existence of positive solutions to an initial value problem of fractional order (where the fractional derivatives are considered in the Riemann-Liouville sense). Theorems are given on existence of positive solutions, both in the classical sense and in the Carathéodory sense. The paper concludes with an example. Reviewer: Neville Ford (Chester) Cited in 2 Documents MSC: 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 26A33 Fractional derivatives and integrals 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces Keywords:fractional differential equations; positive solutions PDFBibTeX XMLCite \textit{D. Bugajewska} and \textit{M. Zima}, Discrete Contin. Dyn. Syst. 2003, 141--146 (2003; Zbl 1061.34002)