预解算子控制的非局部分数阶微分方程解的存在性和近似可控性（英文）  

Existence and Approximate Controllability of Nonlocal Fractional Differential Equations via Resolvent Operators

作　　者：陈丽珍[1] 李刚[2] CHEN Lizhenl LI Gang(Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi, 030006, P. R. China Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu, 225002, P. R. China)

机构地区：[1]山西财经大学应用数学学院,太原山西030006 [2]扬州大学数学科学学院,扬州江苏225002

出　　处：《数学进展》2017年第2期261-272,共12页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11271316);the Youth Fund of Shanxi University of Finance and Economics(No.Z06045)

摘　　要：利用解析预解算子理论以及不动点定理,讨论了非局部分数阶微分方程在非局部项失去Lipschitz连续和紧的条件下温和解的存在性和近似可控性.最后给出了定理的一个应用例.Using the analytic resolvent method and fixed point theory, we derive the existence and approximate controllability results for nonlocal fractional differential equations when the nonlocal item is neither Lipschitz nor compact. An example is also given to illustrate the application of our theory.

关 键 词：近似可控 解析预解算子 分数阶微分方程 非局部条件 

分 类 号：O177.91[理学—数学]