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