Lower and Upper Solutions for Sequential Fractional Differential Systems by Monotone Iterative Techniques
Abstract
This paper delves into the theoretical investigation of extremal solutions for a coupled sequential Caputo fractional differential system. We employ functional analysis to rigorously prove the existence of these solutions, combining the monotone iterative technique with the method of upper and lower solutions to establish sufficient conditions for finding the minimal and maximal solutions. To validate our theoretical results, we provide two illustrative examples.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fuzzy Systems and Optimization
Fractional Differential Equations Solutions
Publication details
- Journal / source
- International Journal of Analysis and Applications
- Volume
- 24
- Pages
- 62–62
- Publication date
- 12 March 2026
- Language
- EN