On a Coupled System of ψ‐Liouville–Caputo‐Type Fractional Nonlinear Volterra–Fredholm Integro‐Differential Equations With Nonlocal Nonseparated Boundary Conditions

ABSTRACT In this paper, we discuss the existence and uniqueness of solutions for a coupled system of nonlinear generalized Liouville–Caputo fractional Volterra–Fredholm integro‐differential equations with nonlocal nonseparated boundary conditions. The new results are obtained by Krasnosel'skii's, Leray–Schauder's alternative, and Banach's fixed‐point theorems. In our study, we used brief and interesting analytical techniques. Two examples are presented to clarify the main results.