带有积分边值的分数阶微分包含正解存在性  

Existence of Positive Solutions for Fractional Differential Inclusions with Integral Boundary Value Conditions

作　　者：杨丹丹[1] 张广明 YANG Dan-dan;ZHANG Guang-ming(School of Mathematical Science,Huaiyin Normal University,Huaian Jiangsu 223300,China;Troops 32127,People's Liberation Army of China,Dalian Liaoning 116100,China)

机构地区：[1]淮阴师范学院数学科学学院,江苏淮安223300 [2]中国人民解放军32127部队,辽宁大连116100

出　　处：《淮阴师范学院学报（自然科学版）》2020年第1期1-5,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(11571136)。

摘　　要：利用多值映射的不动点定理,研究一类带有积分边值条件的分数阶微分包含问题,给出了其正解的存在性定理,所得结果将已有的单值结果推广到多值情形。In this paper,based on fixed-point theorem for multi-value maps and some analysis technique,we are concerned with a class of fractional order differential inclusions with integral boundary value problems,the existence of positive solutions for the problem is given.The obtained results extend known single value result to multi-valued framework.

关 键 词：分数阶微分包含 积分边值条件 正解 多值映射 

分 类 号：O175.14[理学—数学]