STABILITY ANALYSIS OF A NONLOCAL FRACTIONAL IMPULSIVE COUPLED EVOLUTION DIFFERENTIAL EQUATION

被引：2
|
作者：
Ahmad, Manzoor [1 ]
Zada, Akbar [1 ]
Dong, Wei [2 ]
Xu, Jiafa [3 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Hebei Univ Engn, Handan 056021, Hebei, Peoples R China
[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Caputo fractional derivative; Hyers-Ulam stability; impulsive switched coupled system; HYERS-ULAM STABILITY; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; 1ST-ORDER; SYSTEM; EXISTENCE;
D O I：
10.11948/20190201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is committed to establish the necessary assumptions related with the existence and uniqueness of solutions to a nonlocal coupled impulsive fractional differential equation. We attain our main results by the use of Krasnoselskii's fixed point theorem and Banach contraction principle. Additionally, we create a framework for studying the Hyers-Ulam stability of the considered problem. For the applications of theoretical result, we discuss an example at the end.
引用
收藏
页码：138 / 160
页数：23
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