Solvability of a Class of Higher-Order Fractional Two-Point Boundary Value Problem

Abstract EN

This paper investigates the solvability of a class of higher-order fractional two-point boundary value problem (BVP), and presents several new results.

First, Green’s function of the considered BVP is obtained by using the property of Caputo derivative.

Second, based on Schaefer’s fixed point theorem, the solvability of the considered BVP is studied, and a sufficient condition is presented for the existence of at least one solution.

Finally, an illustrative example is given to support the obtained new results.