Zhang, Shuqin Existence of positive solution for a singular initial value problem for fractional differential equation. (Chinese. English summary) Zbl 1144.34307 Acta Math. Sin., Chin. Ser. 50, No. 4, 813-822 (2007). 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. Cited in 4 Documents MSC: 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 26A33 Fractional derivatives and integrals Keywords:Riemann-Liouville fractional derivative; singular; differential equations of fractional order Citations:Zbl 1027.34003 PDFBibTeX XMLCite \textit{S. Zhang}, Acta Math. Sin., Chin. Ser. 50, No. 4, 813--822 (2007; Zbl 1144.34307)