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

作　　者：石阳 凡震彬[1] 李刚[1] SHI Yang;FAN Zhenbin;LI Gang(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2023年第1期1-5,19,共6页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11871064,11571300)。

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.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 

分 类 号：O175.14[理学—数学]