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

被引：156
|
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
收藏
页码：792 / 804
页数：13
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