Positive solutions for mixed problems of singular fractional differential equations. (English) Zbl 1232.26005
Summary: We investigate the existence of positive solutions to the singular fractional boundary value problem: , where , , is a -Carathéodory function, , and may be singular at the value 0 of its space variables . Here stands for the Caputo fractional derivative. The results are based on combining regularization and sequential techniques with a fixed point theorem on cones.
|26A33||Fractional derivatives and integrals (real functions)|
|34B16||Singular nonlinear boundary value problems for ODE|