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Mainardi, F. (1997) Fractional Calculus: Some Basic Problems in Continuum and Statical Mechanics. In: Carpinteri, A. and Mainardi, F., Eds., Fractals and Fractional Calculus in Continuum Calculus Mechanics, Vol. 378, CISM International Centre for Mechanical Sciences, Springer, Vienna, 291-348.

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.