Fractional boundary value problem with ψ-Caputo fractional derivative

This paper is concerned with a boundary value problem for a nonlinear fractional differential equation involving a general form of Caputo fractional derivative operator with respect to new function ψ . The existence and uniqueness results of solutions are obtained. Our analysis relies on a variety of tools of fractional calculus together with fixed point theorems of Banach and Schaefer. The investigation of the results will be illustrated by providing a suitable example.