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Toumi, F. (2016) Monotone Iterative Technique for Systems of Nonlinear Caputo Fractional Differential Equations. In: Pinelas, S., Došlá, Z., Došly, O. and Kloeden, P.E., Eds., Differential and Difference Equations with Applications, Series Springer Proceedings in Mathematics and Statistics, Vol. 164, Springer, Cham, 99-107.
https://doi.org/10.1007/978-3-319-32857-7_10

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.