×

On positive solutions of nonlinear fractional differential equations. (English) Zbl 1061.34002

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.

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
PDFBibTeX XMLCite