NONLOCAL IMPULSIVE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TIME-VARYING GENERATING OPERATORS IN BANACH SPACES

被引：28

作者：

Wang, JinRong ^{[1
]}

Yang, YanLong ^{[2
]}

Wei, W. ^{[1
]}

机构：

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

[2] Guizhou Univ, Coll Technol, Guiyang 550004, Guizhou, Peoples R China

来源：

OPUSCULA MATHEMATICA | 2010年 / 30卷 / 03期

基金：

中国国家自然科学基金;

关键词：

nonlocal conditions; impulsive equations; fractional differential equations; time-varying generating operators; PC-mild solution;

D O I：

10.7494/OpMath.2010.30.3.361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of the PC-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.

引用

页码：361 / 381

页数：21

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