一类带积分边值条件的分数阶微分方程多个正解的存在性  

Multiplicity of positive solutions for a class of fractional differential equations with integral boundary value conditions

作　　者：杨小娟 韩晓玲 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《陕西师范大学学报（自然科学版）》2017年第6期1-4,共4页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(11561063)

摘　　要：在一致分数阶导数的定义下,利用上下解方法研究了一类带积分边值条件的非线性分数阶微分方程边值问题。结合Leray-Schauder度理论,得到了所研究问题正解及其多个正解的存在性。In the definition of conformable fractional derivative,a class of nonlinear fractional differential equations with integral boundary value condition are studied by applying the method of lower and upper solution.Combined with Leray-Schauder degree theory,the existence of positive solutions and multiple solutions for the considered problem is obtained.

关 键 词：一致分数阶导数 分数阶微分方程 积分边值问题 多解性 上下解方法 LERAY-SCHAUDER度理论 

分 类 号：O175.8[理学—数学]