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分数阶时滞微分方程新的显式解及其稳定性
New explicit solutions and Hyers-Ulam stability of fractional delay differential equations
【摘要】 利用时滞Mittag-Leffler矩阵函数和拉普拉斯变换的方法,给出Caputo型分数阶非齐次时滞微分方程新的显式解.在此基础上,进一步探讨并获得了该方程的Hyers-Ulam稳定性.
【Abstract】 In this paper,the new explicit solution of Caputo type fractional non-homogeneous differential equation with delay is derived by delayed Mittag-Leffler matrix function and the method of Laplace transform.Then,the Hyers-Ulam stability of the equation is obtained in view of the explicit solution.
【关键词】 分数阶时滞微分方程;
拉普拉斯变换;
Mittag-Leffler函数;
Hyers-Ulam稳定性;
【Key words】 fractional differential equations with delays; Laplace transform; Mittag-Leffler function; Hyers-Ulam stability;
【Key words】 fractional differential equations with delays; Laplace transform; Mittag-Leffler function; Hyers-Ulam stability;
【基金】 国家自然科学基金资助项目(11871064,11571300)
- 【文献出处】 扬州大学学报(自然科学版) ,Journal of Yangzhou University(Natural Science Edition) , 编辑部邮箱 ,2023年01期
- 【分类号】O175
- 【下载频次】55