安徽大学学报（自然科学版）2011，Vol.35Issue(1)：1-4,4.
分数阶微分方程反周期边值问题解的存在性
Existence of solution for anti-periodic boundary value problem of fractional differential equation
摘要
Abstract
The boundary value problem of fractional differential equations had attracted many authors to study this subject, due to its valuable theory and widely applied background. Anti-periodic boundary value problem was an important class of it. In this paper, by employing of Krasnoselskii fixed point theorem and some analysis techniques, we studied the anti-periodic boundary value problem for a kind of fractional integraldifferential equation. A sufficient condition for the existence of anti-periodic boundary value problem's solution was obtained. Compared with the previous results, the result in this paper was easier to be verified and extended some known results to some extent.关键词
分数阶/微分积分方程/反周期边值问题/不动点定理Key words
fractional order/ integral-differential equations/ anti-periodic boundary value problem/ fixed point theorem分类
数理科学引用本文复制引用
周宗福,贾宝瑞..分数阶微分方程反周期边值问题解的存在性[J].安徽大学学报（自然科学版）,2011,35(1):1-4,4.基金项目
国家自然科学基金资助项目(10771001) （10771001）
安徽省教育厅自然科学基金资助项目(KJ2009A005Z,KJ2010ZD02,2010SQRL159) （KJ2009A005Z,KJ2010ZD02,2010SQRL159）
安徽大学创新团队基金资助项目 （）
