论文摘要
In this paper, we are concerned with the existence of mild solution and controllability for a class of nonlinear fractional control systems with damping in Hilbert spaces.Our first step is to give the representation of mild solution for this control system by utilizing the general method of Laplace transform and the theory of（α, γ）-regularized families of operators. Next, we study the solvability and controllability of nonlinear fractional control systems with damping under some suitable sufficient conditions. Finally, two examples are given to illustrate the theory.
论文目录
文章来源
类型: 期刊论文
作者: 李秀文,刘振海,李景,Chris TISDELL
来源: Acta Mathematica Scientia(English Series) 2019年01期
年度: 2019
分类: 基础科学
专业: 数学
单位: School of Science, Nanjing University of Sciences and Technology,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University,Hunan Province Key Laboratory of Mathematical Modelling and Analysis in Engineering,Faculty of Science, The University of New South Wales, UNSW
基金: NNSF of China(11671101,11661001),NSF of Guangxi(2018GXNSFDA138002),NSF of Hunan(2018JJ3519),the funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie(823731CONMECH)
分类号: O231
页码: 229-242
总页数: 14
文件大小: 341K
下载量: 20
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