CONTROLLABILITY OF NONLOCAL FRACTIONAL DIFFERENTIAL SYSTEMS OF ORDER α ∈ (1,2] IN BANACH SPACES

被引：4

作者：

Li Kexue ^{[1
,2
]}

Peng Jigen ^{[1
]}

Gao Jinghuai ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Inst Wave & Informat, Xian 710049, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2013年 / 71卷 / 01期

关键词：

controllability; fractional differential systems; fractional cosine family; nonlocal conditions; mild solutions; APPROXIMATE CONTROLLABILITY; EVOLUTION-EQUATIONS; INCLUSIONS; EXISTENCE; DELAY;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we establish sufficient conditions for controllability of fractional differential systems of order alpha is an element of (1, 2] with nonlocal conditions in infinite dimensional Banach spaces. The results are obtained by using the Sadovskii fixed point theorem and vector-valued operator theory.

引用

页码：33 / 43

页数：11

共 19 条

[1]

[Anonymous], 2001, FRACTIONAL EVOLUTION

[2] Controllability of nonlinear systems in Banach spaces: A survey [J].

Balachandran, K ;

Dauer, JP .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 115 (01) :7-28

[3] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM [J].

BYSZEWSKI, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :494-505

[4]

Ganthi C. Rajiv, ICMMSC 2012, V283, P302

[5] Approximate controllability of fractional order semilinear systems with bounded delay [J].

Kumar, Surendra ;

Sukavanam, N. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (11) :6163-6174

[6] Controllability of semilinear stochastic systems in Hilbert spaces [J].

Mahmudov, NI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) :197-211

[7] Controllability for a class of fractional-order neutral evolution control systems [J].

Sakthivel, R. ;

Mahmudov, N. I. ;

Nieto, Juan. J. .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (20) :10334-10340

[8] COMPLETE CONTROLLABILITY OF STOCHASTIC EVOLUTION EQUATIONS WITH JUMPS [J].

Sakthivel, R. ;

Ren, Y. .

REPORTS ON MATHEMATICAL PHYSICS, 2011, 68 (02) :163-174

[9] On the approximate controllability of semilinear fractional differential systems [J].

Sakthivel, R. ;

Ren, Yong ;

Mahmudov, N. I. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1451-1459

[10]

Sakthivel R., 2012, RESULTS MATH, DOI [10.1007/S00025-012-0245-y, DOI 10.1007/S00025-012-0245-Y]

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