On a fractional boundary value problem with a perturbation term. (English) Zbl 1474.34169
Summary: In this paper, the authors study a nonlinear fractional boundary value problem of order \(\alpha\) with \(2< \alpha< 3\). The associated Green’s function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it.
MSC:
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B27 | Green’s functions for ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
