带有时滞的分数阶微分方程的边值问题的正解  

Positive solutions to boundary value problems for fractional differential equations with time delays

作　　者：胡秀林 张永军[2] HU Xiulin;ZHANG Yongjun(School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China;School of Economic and Management, Hefei University, Hefei 230601, China)

机构地区：[1]合肥学院人工智能与大数据学院,安徽合肥230601 [2]合肥学院经济与管理学院,安徽合肥230601

出　　处：《中国科学技术大学学报》2020年第2期106-114,共9页JUSTC

基　　金：Supported by University Science Research Key Project of Anhui Province(KJ2018A0565);Fostering Master’s Degree Empowerment Point Project of Hefei University(2018xs03);Major Project of Humanities and Social Sciences of Anhui Province(SK2019ZD55);Operational Research High-Level Teaching Team of Anhui Province(2018jxtd049)

摘　　要：研究了一类带有多点边值条件的奇异时滞分数阶微分方程的正解的存在性.利用Krasnosel’skii不动点定理,给出了边值问题正解存在的充分条件.The existence of positive solutions for a class of singular delay fractional differential equations with multi-point boundary value conditions was studied.By means of the Krasnosel’skii fixed point theorem,sufficient conditions of existence results of positive solutions were presented.

关 键 词：奇异分数阶微分方程 边值问题 时滞 正解 不动点定理 

分 类 号：O175.8[理学—数学]