广西民族大学学报（自然科学版）2025，Vol.31Issue(4)：60-66,7.
阻尼分数阶四元数微分方程的Hyers-Ulam稳定性
Hyers-Ulam Stability of Fractional Quaternion Differential Equations with Damping
摘要
Abstract
This paper investigates the Hyers-Ulam stability of linear quaternion differential equations with damping under Caputo fractional derivatives.First,by using the complex representation of quaternions,the original fractional quaternion differential equations are transformed into a system of fractional complex differential equations.Then,by applying the Laplace transform and the Mittag-Leffler function,the Hyers-Ulam stability of the resulting complex differential equations is proved.Finally,based on the relationship between the quaternion differential equation and the system of complex differential equations,the Hyers-Ulam stability of the fractional quaternion differential equations is established.关键词
Hyers-Ulam稳定性/分数阶微分方程/四元数/Laplace变换Key words
Hyers-Ulam stability/Fractional differential equations/Quaternion/Laplace transform分类
数理科学引用本文复制引用
李秀文,廖珊..阻尼分数阶四元数微分方程的Hyers-Ulam稳定性[J].广西民族大学学报（自然科学版）,2025,31(4):60-66,7.基金项目
广西自然科学基金杰出青年科学基金项目(2022GXNSFFA035027) （2022GXNSFFA035027）
国家自然科学基金地区科学基金项目(12001123) （12001123）
广西高等教育教学改革工程项目(2023JGZ117). （2023JGZ117）
