分数阶微分方程积分边值问题多个正解的存在性  

The Existence of Multiple Positive Solutions of Boundary Value Problem for Fractional Differential Equations with Integral Boundary Conditions

作　　者：薛云[1] 周宗福[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《数学的实践与认识》2014年第22期275-280,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071001);安徽省自然科学基金(1208085MA13)

摘　　要：研究了带有积分边值条件的分数阶微分方程的边值问题.利用LeggettWilliams不动点定理,以及一些分析技巧得到了这类分数阶微分方程边值问题多个正解的存在性.In this paper we discuss the boundary value problem for fractional differential equations with integral boundary conditions. By using the Leggett-Williams fixed point theorem and some analysis techniques, we obtain the existence of multiple positive solutions of the boundary value problems.

关 键 词：分数阶 边值问题 正解 

分 类 号：O175.8[理学—数学]