×

A nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. (English) Zbl 1389.45007

Summary: In this paper, we discuss the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem for a sum of three operators due to Dhage, and is well illustrated by an example.

MSC:

45J05 Integro-ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34A08 Fractional ordinary differential equations
Full Text: DOI