应用数学2023，Vol.36Issue(1)：101-108,8.
分数阶时滞微分方程的Hyers-Ulam稳定性
Hyers-Ulam Stability of Fractional Delay Differential Equations
摘要
Abstract
This paper is devoted to the Hyers-Ulam stability of the inhomogeneous fractional delay differential equations with order α ∈(0,1).On the basis of the delayed Mittag-Leffler matrix function,we give the explicit solution of the inhomogeneous delay fractional differential equations by using the technique of Laplace transforms.Furthermore,we prove the inhomogeneous delay fractional differential equations satisfy the Hyers-Ulam stability in the finite time interval[0,T].Finally,an example is presented to illustrate our theoretical results.关键词
时滞/分数阶微分方程/Mittag-Leffler函数/拉普拉斯变换/Hyers-Ulam稳定性Key words
Delay/Fractional differential equation/Mittag-Leffler function/Laplace transform/Hyers-Ulam stability分类
数理科学引用本文复制引用
王雅倩,顾鹏飞,李刚,刘莉..分数阶时滞微分方程的Hyers-Ulam稳定性[J].应用数学,2023,36(1):101-108,8.基金项目
Supported by the National Natural Science Foundation of China(11871064),the Graduate Research and Innovation Projects of Jiangsu Province(Yangzhou University)(XKYCX20-010) （11871064）
