Periodic motion for impulsive fractional functional differential equations with piecewise Caputo derivative

被引：85
|
作者：
Zhang, Tianwei [1 ]
Xiong, Lianglin [2 ]
机构：
[1] Kunming Univ Sci & Technol, City Coll, Kunming 650051, Yunnan, Peoples R China
[2] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 101卷
关键词：
Piecewise Caputo fractional derivative; Impulse; Matrix Mittag-Leffler function; Exponential stability;
D O I：
10.1016/j.aml.2019.106072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the basis of some crucial properties for one-parameter and two-parameter Mittag-Leffier functions, the existence, uniqueness and global exponential stability of periodic solution are discussed for a class of semilinear impulsive fractional functional differential equations with piecewise Caputo derivative. Some better result is achieved and it improves and extends some existing research finding. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
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