The study of fractional differential equation can settle numerous tanglesome matters in mathematics， aerodynamics， economics， polymer rheology and other fields. In a class of boundary value problems for fractional differential equations with ψ- Caputo derivatives， the boundary value conditions contain multiple points and integrals， the form of the solution of the isovalent integral equation is first gained from the definition and properties of ψ- Caputo derivative， afterwards, the uniqueness and existence of the solution of the boundary value problem are gained by the Banach contraction mapping principle and Schauder fixed point theorem respectively. In the end， the application of the result is illustrated by an example.