基于预解算子的非局部分数阶微分包含解的存在性  

Existence of solutions to nonlocal fractional differential inclusions via resolvent operators

作　　者：嵇绍春[1] 李刚[2] JI Shaochun;LI Gang(Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai′an, Jiangsu 223003, China;School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu 225002, China)

机构地区：[1]淮阴工学院数理学院,江苏淮安223003 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《山东科技大学学报（自然科学版）》2021年第4期103-108,共6页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(11601178,11871064);江苏省高校优秀中青年教师和校长境外研修计划;江苏高校“青蓝工程”优秀青年骨干教师项目。

摘　　要：利用多值分析方法和预解算子理论,研究Banach空间中一类非局部分数阶微分包含的解,在非局部项不具有紧性和Lipschitz连续性的条件下给出存在适度解的充分条件,改进了相关文献的结果。By using multivalued analysis and resolvent operators,the solutions to nonlocal fractional differential inclusions in Banach spaces are discussed.The sufficient conditions on the existence results of mild solutions when the nonlocal item is not Lipschitz continuous and not compact are given,which improves some related results in this area.

关 键 词：分数阶微分包含 非局部条件 预解算子 多值分析 

分 类 号：O175.15[理学—数学]