Existence and uniqueness of solutions for nonlinear fractional four-point boundary value problems. (Chinese. English summary) Zbl 1340.34013
Summary: This paper investigates existence and uniqueness of solutions for a class of four-point boundary value problems of the fractional order differential equation. By using the Schauder fixed point theorem and the Banach contraction principle, we obtain sufficient conditions for the existence and uniqueness of solutions.
MSC:
34A08 | Fractional ordinary differential equations |
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
47N20 | Applications of operator theory to differential and integral equations |