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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
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