Nonlocal Controllability of Semilinear Dynamic Systems with Fractional Derivative in Banach Spaces

被引：0

作者：

JinRong Wang

Zhenbin Fan

Yong Zhou

机构：

[1] Guizhou University,Department of Mathematics

[2] Changshu Institute of Technology,Department of Mathematics

[3] Xiangtan University,Department of Mathematics

来源：

Journal of Optimization Theory and Applications | 2012年 / 154卷

关键词：

Nonlocal controllability; Caputo fractional derivative; Equicontinuity; Measure of noncompactness; Mönch fixed point theorems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we establish two sufficient conditions for nonlocal controllability for fractional evolution systems. Since there is no compactness of characteristic solution operators, our theorems guarantee the effectiveness of controllability results under some weakly compactness conditions.

引用

页码：292 / 302

页数：10

共 50 条

[21] Controllability of integrodifferential systems with nonlocal initial conditions in Banach spaces
Wang J.
Wei W.
Journal of Mathematical Sciences, 2011, 177 (3) : 459 - 465
[22] CONTROLLABILITY OF NONLOCAL FRACTIONAL SEMILINEAR INTEGRODIFFERENTIAL EQUATION
Ahmed, Hamdy M.
Mohamed, Amany S.
Al-Nahhas, Mahmoud A.
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2016, 17 (01): : 13 - 25
[23] Nonlocal Cauchy problems for semilinear differential inclusions with fractional order in Banach spaces
Wang, JinRong
Ibrahim, A. G.
Feckan, Michal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 27 (1-3) : 281 - 293
[24] Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
Kerboua, Mourad
Debbouche, Amar
Baleanu, Dumitru
ABSTRACT AND APPLIED ANALYSIS, 2013,
[25] Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces
Balachandran, K
Sakthivel, R
APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 63 - 71
[26] Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces
Wang, JinRong
Ibrahim, Ahmed G.
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[27] CONTROLLABILITY OF NONLINEAR FRACTIONAL EVOLUTION SYSTEMS IN BANACH SPACES: A SURVEY
Zhao, Daliang
Liu, Yansheng
ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (05): : 3551 - 3580
[28] CONTROLLABILITY OF SECOND-ORDER SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES
Kumar, Surendra
Sukavanam, N.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (04) : 423 - 431
[29] Nonlocal controllability of integrodifferential equations in Banach spaces
Balasubramaniam, P.
Loganathan, C.
Advances in modelling and analysis. A, general mathematical and computer tools, 2000, 37 (1-2): : 51 - 59
[30] New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay
Zhao, Daliang
Mao, Juan
COMPLEXITY, 2020, 2020

← 1 2 3 4 5 →