预解算子控制的无穷时滞分数阶微分方程解的存在性  

EXISTENCE RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY VIA RESOLVENT OPERATORS

作　　者：陈丽珍[1] 凡震彬[2] 李刚[3] CHEN Li-zhen FAN Zhen-bin LI Gang(Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China Department of Mathematics, Changshu Institute of Technology, Suzhou 215500, China Department of Mathematics, Yangzhou University, Yangzhou 225002, China)

机构地区：[1]山西财经大学应用数学学院,山西太原030006 [2]常熟理工学院数学与统计学院,江苏苏州215500 [3]扬州大学数学科学学院,江苏扬州225002

出　　处：《数学杂志》2016年第6期1215-1221,共7页Journal of Mathematics

基　　金：国家自然科学基金资助项目(11001034;11271316);山西财经大学青年基金(Z06045)

摘　　要：本文研究了一类预解算子控制的具有无穷时滞的分数阶泛函微分方程.利用解析预解算子理论和不动点定理,得到了具有无穷时滞分数阶微分方程适度解的存在性,推广和改进了一些已知的结果.This paper is concerned with a class of fractional differential equations governed by a linear closed operator which generates a resolvent.The existence of mild solutions to such equations is obtained by using the theory of analytic resolvent and fixed point theorem which improves and generalizes some previous results.

关 键 词：预解算子 分数阶微分方程 无穷时滞 适度解 

分 类 号：O175.12[理学—数学]