带有积分边值的非线性分数阶微分包含多个正解存在性  

Existence Theorem of Positive Solutions for Nonlinear Fractional Differential Inclusions With Integral Boundary Value Conditions

作　　者：李春红 杨丹丹[2] LI Chunhong;YANG Dandan(Journal Editorial Department,Huaiyin Normal University,Huaian 223001,China;School of Mathematical Science,Huaiyin Normal University,Huaian 223001,China)

机构地区：[1]淮阴师范学院学报编辑部,江苏淮安223001 [2]淮阴师范学院数学科学学院,江苏淮安223001

出　　处：《沈阳大学学报（自然科学版）》2020年第3期258-262,共5页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11571136);国家自然科学基金青年基金资助项目(11701206).

摘　　要：研究了带有积分边值条件的分数阶微分包含边值问题.利用多值映射的不动点定理,给出了至少两个正解的存在性定理,所得结果将已有的单值结果推广到多值情形.The problem of fractional differential inclusion boundary with integral boundary conditions is studied.The fixed point theorem of multi-valued mappings is used to give the existence theorem of at least two positive solutions.The obtained results generalize the existing single-valued results to multi-valued case.

关 键 词：分数阶微分包含 积分边值条件 正解 多值映射 不动点定理 

分 类 号：O175.14[理学—数学]