Stability analysis by Krasnoselskii's fixed point theorem for nonlinear fractional differential equations

被引：35
|
作者：
Ge, Fudong [1 ]
Kou, Chunhai [2 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 257卷
关键词：
Nonlinear fractional differential equations; Fractional integral perturbation; Krasnoselskii's fixed point theorem; Stability analysis;
D O I：
10.1016/j.amc.2014.11.109
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the stability analysis of nonlinear fractional differential equations of order alpha(1 < alpha < 2). Our main results are obtained by using Krasnoselskii's fixed point theorem in a weighted Banach space. An example and its corresponding simulation are presented to illustrate the main results. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：308 / 316
页数：9
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