Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order

被引：155

作者：

Wang, Guotao ^{[1
]}

Ahmad, Bashir ^{[2
]}

Zhang, Lihong ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期

关键词：

Nonlinear fractional differential equations; Impulse; Anti-periodic boundary value problem; Fixed point theorem; EXISTENCE; INCLUSIONS;

D O I：

10.1016/j.na.2010.09.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order alpha, is an element of (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：792 / 804

页数：13

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