Existence of Solutions for Coupled Higher-Order Fractional Integro-Differential Equations with Nonlocal Integral and Multi-Point Boundary Conditions Depending on Lower-Order Fractional Derivatives and Integrals

In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete integral boundary conditions. The nonlinearity relies both on unknown functions their derivatives integrals in lower order. consequence is obtained utilizing alternative Leray–Schauder, while result based concept Banach contraction mapping. We introduced unification present work varying parameters multi-point classical With help examples, main results are well demonstrated.