Existence and uniqueness of mild solutions to impulsive fractional differential equations

被引：137

作者：

Mophou, Gisele M. ^{[1
]}

机构：

[1] Univ Antilles Guyane, Dept Math & Informat, Campus Fouillole, F-97159 Pointe A Pitre, Guadeloupe, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 3-4期

关键词：

Cauchy problem; Fractional abstract differential equation; Impulsive equations; Mild solutions; Nonlocal conditions; DEFINED EVOLUTION-EQUATIONS;

D O I：

10.1016/j.na.2009.08.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and uniqueness of a mild solution to impulsive fractional semilinear differential equations. The results are obtained by means of fixed point methods. We also give an example of such problems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1604 / 1615

页数：12

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