Monotone solutions for singular fractional boundary value problems. (English) Zbl 1463.34094
Summary: In this paper, we investigate a boundary value problem of fractional differential equation. The nonlinear term includes fractional derivatives and is singular with respect to space variables. By means of Schaefer’s fixed point theorem and Vitali convergence theorem, an existence result of monotone solutions is obtained. The proofs are based on regularization and sequential techniques. An example is also given to illustrate our main result.
MSC:
34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
34A08 | Fractional ordinary differential equations |
47N20 | Applications of operator theory to differential and integral equations |