Eα -Ulam type stability of fractional order ordinary differential equations

被引：47
|
作者：
Wang J. [1 ,2 ]
Li X. [2 ]
机构：
[1] School of Mathematics and Computer Science, Guizhou Normal College
[2] Department of Mathematics, Guizhou University
来源：
Journal of Applied Mathematics and Computing | 2014年 / 45卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Fractional order; Ordinary differential equations;
D O I：
10.1007/s12190-013-0731-8
中图分类号：
学科分类号：
摘要：
In this paper, the concepts of Ealpha; -Ulam-Hyers stability, generalized Ealpha; -Ulam-Hyers stability, Ealpha; -Ulam-Hyers-Rassias stability and generalized Ealpha; -Ulam-Hyers-Rassias stability for fractional order ordinary differential equations are raised. Without loss of generality, Ealpha; -Ulam-Hyers-Rassias stability result is derived by using a singular integral inequality of Gronwall type. Two examples are also provided to illustrate our results. © 2013 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：449 / 459
页数：10
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