The existence and uniqueness of solution for a class of fractional differential equation with fractional-order impulsive term

被引：0

作者：

Zhang, Nan ^{[1
]}

Zhang, Lingling ^{[1
,2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

关键词：

fractional differential equation; impulse; fixed point theorem; contraction mapping principle; positive solution; SYSTEM;

D O I：

10.1109/CCDC52312.2021.9601768

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, compared with the impulsive differential equations of integer order impulsive terms in the previous literatures, we investigate boundary value problem of fractional differential equation where the impulsive item is fractional order. By giving the Green function of corresponding equation, using the fixed point theorem and contraction mapping principle, we obtain the existence and uniqueness of solution for the fractional impulsive differential equation.

引用

页码：1192 / 1197

页数：6

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