一类分数阶系统的稳定性和Laplace变换

数学物理学报 ›› 2019, Vol. 39 ›› Issue (1): 49-58.

一类分数阶系统的稳定性和Laplace变换

王春()

长治学院数学系山西长治 046011

收稿日期:2017-09-30 出版日期:2019-02-26 发布日期:2019-03-12
作者简介:王春, E-mail:wangchun12001@163.com
基金资助:
山西省自然科学基金(201801D121024)

Stability of Some Fractional Systems and Laplace Transform

Chun Wang()

Department of Mathematics, Changzhi University, Shanxi Changzhi 046011

Received:2017-09-30 Online:2019-02-26 Published:2019-03-12
Supported by:
山西省自然科学基金(201801D121024)

摘要/Abstract

摘要：

该文研究了一类分数阶微分系统的Hyers-Ulam-Rassias稳定性.主要应用Laplace变换方法证明了这类分数阶系统是Hyers-Ulam-Rassias稳定的.通过具体的例子说明了所得理论结果的有效性.

关键词: Hyers-Ulam-Rassias稳定性, 分数阶微分系统, 分数阶微分方程, Laplace变换

Abstract:

This paper investigates the Hyers-Ulam-Rassias stability of a kind of fractional differential systems, and proves that this kind of fractional differential systems are Hyers-UlamRassias stable by the Laplace transform method. Two examples are given to illustrate the theoretical results.

Key words: Hyers-Ulam-Rassias stability, Fractional differential system, Fractional differential equation, Laplace transform

中图分类号:

O177.9

王春. 一类分数阶系统的稳定性和Laplace变换[J]. 数学物理学报, 2019, 39(1): 49-58.

Chun Wang. Stability of Some Fractional Systems and Laplace Transform[J]. Acta mathematica scientia,Series A, 2019, 39(1): 49-58.

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