The monotonic property and stability of solutions of fractional differential equations

被引：21

作者：

Choi, Sung Kyu ^{[1
]}

Koo, Namjip ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

关键词：

Fractional derivatives; Fractional differential equations; Mittag-Leffler function; Fractional comparison principle; Mittag-Leffler system;

D O I：

10.1016/j.na.2011.06.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we improve on the monotone property of Lemma 1.7.3 in Lakshmikantham et al. (2009) [5] for the case g(t, u) = lambda u with a nonnegative real number lambda. We also investigate the Mittag-Leffler stability of solutions of fractional differential equations by using the fractional comparison principle. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6530 / 6536

页数：7

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