ON SOME IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：11

作者：

Wang, JinRong ^{[1
]}

Wei, W. ^{[1
]}

Yang, YanLong ^{[2
]}

机构：

[1] Guizhou Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Univ, Coll Technol, Guiyang 55004, Guizhou, Peoples R China

来源：

OPUSCULA MATHEMATICA | 2010年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

fractional differential equations with impulses; nonlinear impulsive singular version of the Gronwall inequality; PC-mild solutions; existence;

D O I：

10.7494/OpMath.2010.30.4.507

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of PC-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.

引用

页码：507 / 525

页数：19

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