Abstract
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.
Acknowledgements
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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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
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