Solvability of a generalized [formula omitted]-Riemann–Liouville fractional BVP under nonlocal boundary conditions

Abstract

In this paper we consider a class of nonlinear BVP involving fractional derivative in the ψ-Riemann–Liouville sense with nonlocal boundary conditions. By means of some properties of the Green’s function and fixed point theorems due to Banach, Boyd-Wong, and Rus, existence of a unique solution is obtained. We have some examples that prove the theory is true.