ULAM STABILITY AND DATA DEPENDENCE FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO DERIVATIVE

被引：0
|
作者：
Wang, JinRong [1 ]
Lv, Linli [1 ]
Zhou, Yong [2 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2011年 / 63期
基金：
中国国家自然科学基金;
关键词：
Fractional differential equations; Caputo derivative; Ulam stability; Data dependence; Gronwall inequality; EVOLUTION-EQUATIONS; EXISTENCE; DELAY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order alpha are studied. We present four types of Ulam stability results for the fractional differential equation in the case of 0 < alpha < 1 and b = +infinity by virtue of the Henry-Gronwall inequality. Meanwhile, we give an interesting data dependence results for the fractional differential equation in the case of 1 < alpha < 2 and b < +infinity by virtue of a generalized Henry-Gronwall inequality with mixed integral term. Finally, examples are given to illustrate our theory results.
引用
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页码：1 / 10
页数：10
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