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Licensed Unlicensed Requires Authentication Published by De Gruyter March 9, 2016

Approximate controllability for semilinear composite fractional relaxation equations

  • Zhenbin Fan EMAIL logo , Qixiang Dong and Gang Li


We consider a control system governed by a semilinear composite fractional relaxation equation in Hilbert space. We first prove that the system has a mild solution. Then, we investigate the approximate controllability of the relaxation equation under the assumption that the corresponding linear system is approximately controllable. An example is also given to illustrate our results.


The authors are grateful to the referee for his /her valuable comments. This work was partially supported by the NSF of China (11571300, 11271316), the Qing Lan Project of Jiangsu Province of China and High‐ Level Personnel Support Program of Yangzhou University.


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  1. Please cite to this paper as published in: Fract. Calc. Appl. Anal., Vol. 19, No 1 (2016), pp. 267-284, DOI: 10.1515/fca-2016-0015

Received: 2015-4-16
Accepted: 2015-12-4
Published Online: 2016-3-9
Published in Print: 2016-2-1

© 2016 Diogenes Co., Sofia

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