一类分数阶时滞微分系统的精确解及Hyers-Ulam稳定性  

Exact solution and Hyers-Ulam stability of a class of fractional delay differential systems

作　　者：邬忆萱 寇春海[1] WU Yixuan;KOU Chunhai(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2024年第1期152-162,共11页Journal of Donghua University(Natural Science)

基　　金：上海市自然科学基金(19ZR1400500)。

摘　　要：为拓展整数阶微分系统的已有结果,研究了一类具有多个时滞的Caputo分数阶线性微分系统。运用不可交换矩阵的多项式定理,在不要求系数矩阵可交换的前提下,得到了系统的精确解表示。研究结果表明,该系统在有限时间内Hyers-Ulam稳定。In order to To extend the existing results of differential systems of integer order,we have considered a class of Caputo fractional linear differential systems with multiple delays were considered.By applying the multinomial theorem for nonpermutable matrices without a commutativity assumption on the matrix coefficients,the representations of exact solutions for the studied systems were obtained.The results show that Hyers-Ulam stability in finite time is proved holds for this class of systems.

关 键 词：时滞系统 Hyers-Ulam稳定 LAPLACE变换 CAPUTO分数阶导数 不可交换矩阵 精确解 

分 类 号：O175.13[理学—数学]