We aim, in this work, to demonstrate the existence of minimal and maximal coupled quasi-solutions for nonlinear Caputo fractional differential systems with order q ∈ (1,2). Our approach is based on mixed monotone iterative techniques developed under the concept of lower and upper quasi-solutions. Our results extend those obtained for ordinary differential equations and fractional ones.
KeywordsMixed Quasi-Monotone PropertyCoupled Lower and Upper SolutionsMon-otone MethodNonlinear Fractional Differential System
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