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Fuzzy differential equations with Riemann-Liouville generalized fractional integrable impulses

Authors: 

Truong Vinh An, Ngo Van Hoa

Source title: 
Fuzzy Sets and Systems, 429: 74-100, 2022 (ISI)
Academic year of acceptance: 
2021-2022
Abstract: 

We introduce a new class of fuzzy differential equations with noninstantaneous impulses represented by the Riemann-Liouville generalized fractional integral. We investigate the existence of the solution and two types of Hyers-Ulam-Rassias stability of the aforementioned problem via the Banach fixed-point theorem. Some illustrate examples are also presented.