Existence and uniqueness results for $\psi$-fractional integro-differential equations with boundary conditions

Devaraj Vivek, E. M. Elsayed, Kuppusamy Kanagarajan

We study boundary value problems (BVPs for short) for the inte\-gro-differential equations via $\psi$-fractional derivative. The results are obtained by using the contraction mapping principle and Schaefer's fixed point theorem. In addition, we discuss the Ulam--Hyers stability.