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Existence of solutions for a class of boundary value problem of high-order fractional differential equations. (Chinese. English summary) Zbl 1463.34014

Summary: This paper investigates a class of boundary value problem of higher-order fractional differential equations involving the first-order derivative in the nonlinear term. Existence of the solutions for the problem is obtained by using the Leray-Schauder continuation theorem and Banach contraction mapping principle. Two examples are presented to illustrate the validity of the results.

MSC:

34A08 Fractional 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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