Electron. J. Differential Equations, Vol. 2017 (2017), No. 272, pp. 1-11.

Approximate controllability of fractional control systems with time delay using the sequence method

Xiuwen Li, Zhenhai Liu, Christopher C. Tisdell

Abstract:
The aim of this article is to establish sufficient conditions for the approximate controllability of fractional control systems with time delay in Hilbert spaces. By the technique of sequential approach, we prove that the fractional control systems with time delay are approximately controllable. Finally, an example is provided to illustrate our main results.

Submitted March 8, 2017. Published November 5, 2017.
Math Subject Classifications: 26A33, 93B05.
Key Words: Approximate controllability; fractional control systems; time delay; sequential approach.

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Xiuwen Li
School of Science
Nanjing University of Sciences and Technology
Nanjing, 210094, Jiangsu Province, China
email: 641542785@qq.com
Zhenhai Liu
School of Science
Nanjing University of Sciences and Technology
Nanjing, 210094, Jiangsu Province, China
email: zhhliu@hotmail.com
Christopher C. Tisdell
School of Mathematics and Statistics
Faculty of Science, The University of New South Wales
UNSW, Sydney, 2052, Australia
email: cct@unsw.edu.au

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