Hyers-Ulam-Rassias stability of quaternion multidimensional fuzzy nonlinear difference equations with impulses

Document Type : Research Paper

Authors

1 Department of Mathematics, Yunnan University, Kunming, Yunnan, China

2 Department of Mathematics, Texas A\&M University-Kingsville, TX, USA

3 Department of Applied Mathematics, Bharathiar University, Coimbatore, India

Abstract

In this paper, we consider the Hyers-Ulam-Rassias stability of the
impulsive fuzzy nonlinear difference equations in the multidimensional fuzzy quaternion space.
Some sufficient conditions of the Hyers-Ulam-Rassias stability are established for the quaternion multidimensional fuzzy nonlinear difference equations with impulses and several examples are demonstrated to show the feasibility of our obtained results.

Keywords

Iranian Journal of Fuzzy Systems
Volume 18, Issue 3
May and June 2021
Pages 143-160

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