He, Dingyu Existence of solutions for a class of boundary value problem of high-order fractional differential equations. (Chinese. English summary) Zbl 1463.34014 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 443-449 (2020). 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 Keywords:fractional differential equation; boundary value problem; Leray-Schauder continuation theorem; Banach contraction mapping principle PDFBibTeX XMLCite \textit{D. He}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 443--449 (2020; Zbl 1463.34014) Full Text: DOI