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Lu, Z., Li, Y., and Shi, X., (2021) Monotone Iterative Technique for Nonlinear Differential Equation of Fractional Order. Authorea, Inc., Brooklyn.
https://doi.org/10.22541/au.162201485.54208914/v1

has been cited by the following article:

• TITLE: Existence Results for Systems of Nonlinear Caputo Fractional Differential Equations

  AUTHORS: Faten Toumi

  KEYWORDS: Mixed Quasi-Monotone Property, Coupled Lower and Upper Solutions, Mon-otone Method, Nonlinear Fractional Differential System

  JOURNAL NAME: Applied Mathematics, Vol.14 No.3, March 22, 2023

  ABSTRACT: 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.