The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative

Abstract A monotone iterative method is applied to show the existence of an extremal solution for a nonlinear system involving the right-handed Riemann–Liouville fractional derivative with nonlocal coupled integral boundary conditions. Two comparison results are established. As an application, an example is presented to demonstrate the efficacy of the main result.

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