A class of fractional order systems with not instantaneous impulses

被引：3

作者：

Zhang, Xianmin ^{[1
]}

机构：

[1] Yangtze Normal Univ, Sch Math & Stat, Chongqing 408100, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; impulsive fractional differential equations; not instantaneous impulses; general solution; state trajectory; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; CHAOS SYNCHRONIZATION; GENERAL-SOLUTION; EXISTENCE;

D O I：

10.22436/jnsa.010.08.32

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a kind of fractional order systems with Caputo-Hadamard derivative ( of order q is an element of C and R (q) is an element of (1, 2)) and not instantaneous impulses. The obtained result uncovers that there exists a general solution for these impulsive systems, which means that the state trajectory of these impulsive systems is non-unique, and it is expounded by a numerical example. (C)2017 All rights reserved.

引用

页码：4398 / 4407

页数：10

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