@article{Ding2026, 
author = {Weiqi Ding and Haibo Gu and Yan Chen},
title = {Fractional interactive fuzzy    F-correlated Caputo-Katugampola differential equations},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {2},
pages = {1315-1341},
keywords = {interactive derivative, F-correlated fuzzy processes, fuzzy fractional differential equations, time delay},
url = {https://www.sciopen.com/article/10.3934/era.2026060},
doi = {10.3934/era.2026060},
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.}
}