Fractional interactive fuzzy $ F $-correlated Caputo-Katugampola differential equations
Abstract
In this paper, we investigated the existence and uniqueness of solutions for a class of interactive fuzzy Caputo–Katugampola $ F $-correlated fractional differential equations with time delay. First, we gave the definition of the correlated integral and derivative for interactive fuzzy Caputo–Katugampola $ F $-correlated systems. Second, we presented an equivalent integral formulation and, under suitable assumptions, established the existence of solutions to fuzzy interactive Caputo–Katugampola $ F $-correlated fractional-order differential equations with time delay by applying Schauder's fixed-point theorem. Finally, a numerical example was presented to validate the effectiveness of the proposed approach.
Fields of Study & Subjects
Fuzzy Systems and Optimization
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Electronic Research Archive
- Volume
- 34
- Issue
- 2
- Pages
- 1315–1341
- Publication date
- 1 January 2026
- Language
- EN