Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem. (English) Zbl 1246.34006
Summary: We investigate the existence and uniqueness of positive solutions for the following singular fractional three-point boundary value problem , where is the standard Riemann-Liouville derivative and with (i.e., is singular at ). Our analysis relies on a fixed point theorem in partially ordered metric spaces.
|34A08||Fractional differential equations|
|47H10||Fixed point theorems for nonlinear operators on topological linear spaces|
|34B10||Nonlocal and multipoint boundary value problems for ODE|