含积分边界条件的分数阶微分方程边值问题的正解的存在性  

The existence of positive solutions for boundary value problems of fractional diferential equations with integral boundary conditions

作　　者：张立新[1] 王海菊[1] 

机构地区：[1]北京联合大学基础部,北京100101

出　　处：《纯粹数学与应用数学》2013年第5期450-457,共8页Pure and Applied Mathematics

基　　金：北京市自然科学基金(1122016);北京市教委科技计划面上项目(KM201311417006);北京联合大学中自然科学类新起点计划项目(zk201203)

摘　　要：研究了含积分边界条件的分数阶微分方程的边值问题,首先给出格林函数及性质,其次将问题转化为一个等价的积分方程,最后应用Krasnoselkii及Leggett-Williams不动点定理得到了一个及多个正解的存在性,推广了以往的结果.In this paper, we consider the existence of positive solutions for fractional with integral boundary conditions. First, we give the properties of Green＇s function. boundary value problems Second, the problem has been reduced to the equivalent Fredholm integral equation. Finally, using Krasnoselkii fixed point theorem and Leggett-Williams fixed point theorem, some results on the existence of positive solutions are obtained. The work is an extension of the previous results

关 键 词：积分边界条件 分数阶微分方程 不动点定理 正解 

分 类 号：O175.8[理学—数学]