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

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 differe...

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2021-05, Vol.18 (3), p.143
Main Authors: Li, Z., Wang, C, Agarwal, R P, Sakthivel, R
Format: Article
Language:English
Subjects:
Applied mathematics
Fuzzy sets
Ordinary differential equations
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Summary: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.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2021.6087