一类无穷区间上分数阶微分方程边值问题正解的存在性  

Existence of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Equations on Infinite Interval

作　　者：廖秀 韦煜明 冯春华 LIAO Xiu;WEI Yuming;FENG Chunhua(Department of Public Course Teaching,Institute of Information Technology of GUET,Guilin 541004, Guangxi Zhuang Autonomous Region,China;School of Mathematics and Statistics, Guangxi Normal University,Guilin 541004,Guangxi Zhuang Autonomous Region,China)

机构地区：[1]桂林电子科技大学信息科技学院公共课程教学部,广西桂林541004 [2]广西师范大学数学与统计学院,广西桂林541004

出　　处：《吉林大学学报（理学版）》2018年第6期1299-1306,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11361010);广西自然科学基金(批准号:2014GXNSFAA118002);广东省自然科学基金(批准号:2014A030310334)

摘　　要：考虑一类无穷区间上分数阶微分方程边值问题正解的存在性,用锥压缩-锥拉伸不动点定理和压缩映像原理,证明了该边值问题至少存在一个正解且正解唯一.We considered the existence of positive solutions for a class of boundary value problems of fractional differential equations on infinite intervals,and proved that there was at least one positive solution and unique positive solution for the boundary value problem by using the fixed point theorem of cone compression and cone expansion and the compressed image principle.

关 键 词：分数阶微分方程 无穷区间 边值问题 不动点定理 正解 

分 类 号：O175.1[理学—数学]