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On the stability for the fuzzy initial value problem

Authors: 

Ngo Van Hoa, Tofighc Allahviranloo, Ho Vu*

Source title: 
Journal of Intelligent and Fuzzy Systems, 39(5): 7747-7755, 2020 (ISI)
Academic year of acceptance: 
2020-2021
Abstract: 

In this paper, we present the Hyers–Ulam stability and Hyers–Ulam-Rassias stability (HU-stability and HUR-stability for short) for fuzzy initial value problem (FIVP) by using fixed point theorem. We improve and extend some known results on the stability for FDEs by dropping some assumptions. Some examples illustrate the theoretical results.