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Controllability of Fractional Evolution Inclusions with Noninstantaneous Impulses

  • JinRong Wang EMAIL logo , A. G. Ibrahim and D. O’Regan
Published/Copyright: April 5, 2018

Abstract

This paper is concerned with the controllability issue of fractional semilinear evolution inclusions with noninstantaneous impulses. Using weak sequentially closed graph operators, we establish sufficient conditions to guarantee controllability results. We do not assume that the semigroup is compact or we do not assume a compactness-type condition on the multivalued function. Finally, two examples are given to illustrate our theory.

MSC 2010: 26A33; 34A60; 93B05

Funding statement: This work is partially supported by National Natural Science Foundation of China (11661016), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), and Unite Foundation of Guizhou Province ([2015]7640).

Acknowledgements

The authors thank the referees for carefully reading the manuscript and for their valuable comments.

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Received: 2017-04-20
Accepted: 2017-10-16
Published Online: 2018-04-05
Published in Print: 2018-06-26

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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