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.