Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales

Chao Wang; Zhien Li; Ravi P. Agarwal

doi:10.3934/dcdss.2021041

Article Contents

2022, Volume 15, Issue 2: 359-386. Doi: 10.3934/dcdss.2021041

This issue Previous Article A novel collocation approach to solve a nonlinear stochastic differential equation of fractional order involving a constant delay Next Article Controllability of Sobolev type fuzzy differential equation with non-instantaneous impulsive condition

Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales

1.
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
2.
Department of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., TX 78363-8202, Kingsville, TX, USA
3.
Distinguished University Professor of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA

^* Corresponding author: Ravi P. Agarwal
^* Corresponding author: Ravi P. Agarwal

Received: January 2021

Early access: April 2021

Published: February 2022

This work is supported by Youth Fund of NSFC (No. 11961077).

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Abstract

In this paper, the Hyers-Ulam-Rassias stability of high-dimensional quaternion fuzzy dynamic equations with impulses is first considered on time scales. Some fundamental calculus results of the high-dimensional fuzzy quaternion functions in fuzzy quaternion space are established. Based on it, some sufficient conditions are obtained to guarantee the Hyers-Ulam-Rassias stability of the quaternion impulsive fuzzy dynamic equations in high-dimensional case. Moreover, several examples are provided to show the feasibility of our main results on various types of time scales.

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Mathematics Subject Classification: Primary: 34A07, 34N05; Secondary: 11R52.

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