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Approximate Controllability of Fractional Order Semilinear Delay Systems

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Abstract

In this paper, the approximate controllability for a class of semilinear delay control systems of fractional order is proved under the natural assumption that the linear system is approximately controllable. The existence and uniqueness of the mild solution is also proved under suitable assumptions. An example is given to illustrate our main results.

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Authors and Affiliations

  1. Department of Mathematics, IIT Roorkee, Roorkee, 247667, India

    N. Sukavanam & Surendra Kumar

Authors
  1. N. Sukavanam
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  2. Surendra Kumar
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Corresponding author

Correspondence to N. Sukavanam.

Additional information

Communicated by Felix L. Chernousko.

The authors thank the referee for valuable comments and suggestions. The second author is thankful to Council of Scientific & Industrial Research for the financial support with grant number 09/143(0621)/2008-EMR-I.

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Sukavanam, N., Kumar, S. Approximate Controllability of Fractional Order Semilinear Delay Systems. J Optim Theory Appl 151, 373–384 (2011). https://doi.org/10.1007/s10957-011-9905-4

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  • DOI: https://doi.org/10.1007/s10957-011-9905-4

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