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Approximate controllability for semilinear composite fractional relaxation equations

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, 225002, China

    Zhenbin Fan, Qixiang Dong & Gang Li

  2. Department of Mathematics Changshu, Institute of Technology Suzhou, Jiangsu, 215500, China

    Zhenbin Fan

Authors
  1. Zhenbin Fan
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  2. Qixiang Dong
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  3. Gang Li
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Correspondence to Zhenbin Fan.

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Fan, Z., Dong, Q. & Li, G. Approximate controllability for semilinear composite fractional relaxation equations. FCAA 19, 267–284 (2016). https://doi.org/10.1515/fca-2016-0015

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  • DOI: https://doi.org/10.1515/fca-2016-0015

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