Article citationsMore>>

Benchohra, M. and Hamani, S. (2009) The Method of Upper and Lower Solutions and Impulsive Fractional Differential Inclusions. Nonlinear Analysis: Hybrid Systems, 34, 433-440.
https://doi.org/10.1016/j.nahs.2009.02.009

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.