On the Generalized Hilfer Fractional Coupled Integro-Differential Systems with Multi-Point Ordinary and Fractional Integral Boundary Conditions

In this paper, we investigate a nonlinear coupled integro-differential system involving generalized Hilfer fractional derivative operators ((k,psi)-Hilfer type) of different orders and equipped with non-local multi-point ordinary and fractional integral boundary conditions. The uniqueness results for the given problem are obtained by applying Banach's contraction mapping principle and the Boyd-Wong fixed point theorem for nonlinear contractions. Based on the Laray-Schauder alternative and the well-known fixed-point theorem due to Krasnosel'skii, the existence of solutions for the problem at hand is established under different criteria. Illustrative examples for the main results are constructed.