Fractional interactive fuzzy F-correlated Caputo-Katugampola differential equations

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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.

Keywords

interactive derivative / F-correlated fuzzy processes / fuzzy fractional differential equations / time delay

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