HYERS-ULAM STABILITY OF A CLASS OF FRACTIONAL LINEAR DIFFERENTIAL EQUATIONS

被引：9
|
作者：
Wang, Chun [1 ,2 ]
Xu, Tian-Zhou [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Changzhi Univ, Dept Math, Changzhi 046011, Shanxi, Peoples R China
来源：
KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hyers-Ulam stability; Laplace transform method; fractional differential equations; Riemann-Liouville fractional derivatives; FUNCTIONAL-EQUATION; 1ST-ORDER;
D O I：
10.2996/kmj/1446210592
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the Hyers-Ulam stability of a class of fractional linear differential equations. Applying the Laplace transform method, we prove that a class of fractional linear differential equations with Riemann-Liouville fractional derivatives is Hyers-Ulam stable. The results improve and extend some recent results.
引用
收藏
页码：510 / 520
页数：11
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