A Fixed Point Framework for Nonlinear Fractional Systems with Memory Effects
Abstract
In this work, we develop two new classes of rational contraction mappings along with the corresponding fixed point theorems for these types of contractions in suprametric spaces. Furthermore, we use the obtained results to investigate two nonlinear systems, namely, a fractional chaotic financial system and a nonlinear fractional differential equation under integral boundary conditions. Both these nonlinear problems are transformed into fixed point problems in appropriate suprametric spaces, thereby demonstrating the applicability of the developed rational contraction results to nonlinear systems with memory effects.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 6
- Pages
- 403–403
- Publication date
- 12 June 2026
- Language
- EN