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

نویسندگان
Li, Z. ID 1
Wang, C. ID 2
Agarwal, R. P. ID 3
Sakthivel, R. ID 4

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

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

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

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

doi
10.22111/ijfs.2021.6087
چکیده

In this paper, we consider the Hyers-Ulam-Rassias stability of theimpulsive 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.

کلیدواژه‌ها
Fuzzy nonlinear difference equations, quaternion space, Hyers-Ulam-Rassias stability, impulses