Existence and Uniqueness of Random Coupled Riemann–Liouville Fractional Differential Systems with Delays in Banach Spaces

This paper investigates the existence and uniqueness of solutions for a class of Riemann–Liouville fractional differential systems with delays in Banach spaces that are randomly coupled. The analysis is carried out by constructing an appropriate operator under random conditions and applying Perov’s fixed-point theorem. To illustrate the effectiveness of the obtained results, two examples are presented.