Approximate controllability of fractional differential equations via resolvent operators

被引:8
作者
Fan, Zhenbin [1 ]
机构
[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
关键词
approximate controllability; analytic resolvent; fractional differential equation; SOBOLEV TYPE; SYSTEMS;
D O I
10.1186/1687-1847-2014-54
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Of concern are the existence and approximate controllability of fractional differential equations governed by a linear closed operator which generates a resolvent. Using the analytic resolvent method and the continuity of a resolvent in the uniform operator topology, we derive the existence and approximate controllability results of a fractional control system.
引用
收藏
页数:11
相关论文
共 17 条
[1]  
Ahmed H., 2012, ADV DIFFER EQU-NY, V2012, P167
[2]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[3]   Controllability of nonlinear fractional dynamical systems [J].
Balachandran, K. ;
Park, J. Y. ;
Trujillo, J. J. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) :1919-1926
[4]  
Fan Z., 2013, Nonlinear Stud, V20, P163
[5]   Nonlocal Problems for Fractional Differential Equations via Resolvent Operators [J].
Fan, Zhenbin ;
Mophou, Gisele .
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 2013
[6]   Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators [J].
Feckan, Michal ;
Wang, JinRong ;
Zhou, Yong .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) :79-95
[7]   Approximate Controllability of Fractional Integrodifferential Evolution Equations [J].
Ganesh, R. ;
Sakthivel, R. ;
Mahmudov, N. I. ;
Anthoni, S. M. .
JOURNAL OF APPLIED MATHEMATICS, 2013,
[8]   Controllability of impulsive differential systems with nonlocal conditions [J].
Ji, Shaochun ;
Li, Gang ;
Wang, Min .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) :6981-6989
[9]   Approximate controllability of fractional order semilinear systems with bounded delay [J].
Kumar, Surendra ;
Sukavanam, N. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (11) :6163-6174
[10]  
Liang J., 2008, DYNAM CONT DIS SER A, V15, P815