Trajectory Controllability of the Nonlinear Systems Governed by Fractional Differential Equations

被引：27

作者：

Muslim, M. ^{[1
]}

George, Raju K. ^{[2
]}

机构：

[1] Indian Inst Technol, Sch Basic Sci, Mandi 175005, Himachal Prades, India

[2] Indian Inst Space Sci & Technol, Dept Math, Valiamala PO, Trivandrum 695547, Kerala, India

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2019年 / 27卷 / 04期

关键词：

Fractional order differential equation; Trajectory controllability; Gronwall's inequality; C-0-semigroup; APPROXIMATE CONTROLLABILITY; ORDER; INCLUSIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s12591-016-0292-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we consider a nonlinear system governed by fractional differential equations in a Banach space. Used the semigroup theory of linear operators and Gronwal's inequality to show the trajectory controllability of the system. Also, we extend our results to nonlocal and integro-differential equations. Finally, we give an example to illustrate the applications of these results.

引用

页码：529 / 537

页数：9

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