Periodic impulsive fractional differential equations

被引：35

作者：

Feckan, Michal ^{[1
,2
]}

Wang, Jin Rong ^{[3
]}

机构：

[1] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Mlynska Dolina, Bratislava 84248, Slovakia

[2] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

[3] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2019年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; impulses; periodic solutions; existence result;

D O I：

10.1515/anona-2017-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of impulsive fractional differential equations with varying lower limits for standard nonlinear cases as well as for cases of weak nonlinearities, equidistant and periodically shifted impulses. We also apply our result to an impulsive fractional Lorenz system. The second part extends the study to periodic impulsive fractional differential equations with fixed lower limit. We show that in general, there are no solutions with long periodic boundary value conditions for the case of bounded nonlinearities.

引用

页码：482 / 496

页数：15

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