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Duality theory of fractional resolvents and applications to backward fractional control systems

  • Shouguo Zhu EMAIL logo und Gang Li
Veröffentlicht/Copyright: 9. Mai 2021
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Abstract

We study the duality theory for fractional resolvents, extending and improving some corresponding theorems on semigroups. As applications, we develop the variational technique to analyze the finite-approximate controllability of a backward fractional control system with a right-sided Riemann-Liouville fractional derivative. Moreover, validity of our theoretical findings is given by a fractional diffusion model.

Acknowledgements

The authors are grateful to the editor and the referees for their constructive comments and suggestions for the improvement of the paper. Furthermore, the work was supported by the NSF of China (11871064, 11771378) and the NSF of the JiangSu Higher Education Institutions (18KJB110019).

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Received: 2019-09-26
Revised: 2021-03-10
Published Online: 2021-05-09
Published in Print: 2021-04-27

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