Extremal Solutions to a Coupled System of Nonlinear Fractional Differential Equations with ψ-Caputo Fractional Derivatives

Using the well-known monotone iterative technique together with the method of upper and lower solutions, the authors investigate the existence of extremal solutions to a class of coupled systems of nonlinear fractional differential equations involving the ψ-Caputo derivative with initial conditions. As applications of this work, two illustrative examples are presented.

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