一类广义分数阶系统的Hyers-Ulam-Rassias稳定性  

Hyers-Ulam-Rassias Stability on a Class of Generalized Fractional Systems

作　　者：王春[1] 许天周 Wang Chun;Xu Tianzhou(Department of Mathematics,Changzhi University,Shanxi Changzhi 046011;School of Mathematics and Statistics,Beijing Institute of Technology,Beijing 100081)

机构地区：[1]长治学院数学系,山西长治046011 [2]北京理工大学数学与统计学院,北京100081

出　　处：《数学物理学报（A辑）》2021年第6期1791-1804,共14页Acta Mathematica Scientia

基　　金：山西省自然科学基金(201801D121024);山西省高等学校科技创新项目(2019L0903)。

摘　　要：该文应用广义Laplace变换方法研究了一类广义分数阶微分系统的Hyers-Ulam-Rassias稳定性,同时给出相关例子说明了理论结果的有效性.This paper investigates the stability in the sense of Hyers-Ulam-Rassias for a class of generalized fractional differential systems by the generalized Laplace transform method.Several examples are given to illustrate the theoretical results.

关 键 词：广义Laplace变换 广义分数阶微分系统 HYERS-ULAM-RASSIAS稳定性 

分 类 号：O177.9[理学—数学]