×

Existence of positive solution for a singular initial value problem for fractional differential equation. (Chinese. English summary) Zbl 1144.34307

Summary: We investigate the existence of a positive solution for a singular initial value problem for a fractional differential equation. Our result weakens the assumptions of A. Babakhani and D. G. Varsha [J. Math. Anal. Appl. 278, No. 2, 434–442 (2003; Zbl 1027.34003)] , and permits the nonlinear term to have some singularities.

MSC:

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
26A33 Fractional derivatives and integrals

Citations:

Zbl 1027.34003
PDFBibTeX XMLCite