Solution for two-point boundary value problem of the semilinear fractional differential equation. (English) Zbl 1389.34014
Summary: In this paper, we establish the existence of a positive solution for a two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The proof is based on a system of integral equations.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
