Controllability of multi-term time-fractional differential systems

被引：19
|
作者：
Singh, Vikram [1 ]
Pandey, Dwijendra N. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
JOURNAL OF CONTROL AND DECISION | 2020年 / 7卷 / 02期
关键词：
Fractional calculus; exact controllability; multi-term time-fractional delay differential system; measure of noncompactness; SEMILINEAR CONTROL-SYSTEMS; APPROXIMATE CONTROLLABILITY; EQUATIONS;
D O I：
10.1080/23307706.2018.1495584
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, an abstract multi-term time-fractional differential system is considered and the exact controllability results are investigated. In this theory, we tend to implement the basic tools of fractional calculus and measure of noncompactness to come up with a new set of sufficient conditions for the exact controllability by utilisation of Monch fixed point theorem. Finally, an application is given to illustrate the obtained results.
引用
收藏
页码：109 / 125
页数：17
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