摘要
分数阶微分方程边值问题具有良好的理论价值和广泛的应用背景,一直吸引不少学者对其进行研究.反周期边值问题是边值问题中重要的一类.作者利用Krasnoselskii不动点定理和一些分析技巧,研究一类分数阶微分积分方程反周期边值问题,获得了反周期边值问题解存在的一个充分条件.与以往的结果相比较,论文中所得的条件容易验证,在一定程度上推广了已有的结论.
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 integral-differential 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.
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2011年第1期1-4,共4页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(10771001)
安徽省教育厅自然科学基金资助项目(KJ2009A005Z
KJ2010ZD02
2010SQRL159)
安徽大学创新团队基金资助项目
关键词
分数阶
微分积分方程
反周期边值问题
不动点定理
fractional order
integral-differential equations
anti-periodic boundary value problem
fixed point theorem
