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Existence of positive solution for a singular initial value problem for fractional differential equation. (Chinese) 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:
34A12Initial value problems for ODE, existence, uniqueness, etc. of solutions
26A33Fractional derivatives and integrals (real functions)