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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