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 |