一类含积分边界条件的分数阶微分方程的正解的存在性被引量：11

Existence of Positive Solutions for a Class of Fractional Differential Equations with Integral Boundary Conditions

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摘要本文研究了一类含积分边界条件的分数阶微分方程的边值问题,利用格林函数的性质和Krasnoselskii不动点定理,得到了至少有一个,两个正解存在以及正解不存在的充分条件. In this paper, we consider a class of fractional boundary value problems with integral boundary conditions. Using the properties of Green＇s function and Krasnoselskii fixed point theorem, some sufficient conditions for nonexistence and existence of at least one or two positive solutions are obtained.

作者张立新

机构地区北京联合大学基础部

出处《应用数学学报》 CSCD 北大核心 2015年第3期423-433,共11页 Acta Mathematicae Applicatae Sinica

基金北京市自然科学基金(1152002 1132013) 北京市属高等学校高层次人才引进与培养三年行动计划(2013年-2015年) 青年拔尖人才培育计划(CIT and TCD201504041)资助项目

关键词正解分数阶微分方程不动点定理积分边界条件 positive solution fractional differential equation fixed point theorem integral boundary conditions

分类号 O175.8 [理学—基础数学]

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参考文献11

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