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The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

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Abstract

This paper deals with the optimal control problem of a fractional dynamic system in the sense of Caputo. The main result of this paper gives a second order necessary optimality condition for fractional optimal control problems, which has not been discussed before. An application is introduced to explain our main results.

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Acknowledgements

The author thanks the referees for their careful work and insightful comments. I also acknowledge the valuable comments and suggestions from the editors.

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230039, P.R. China

    Tian Liang Guo

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  1. Tian Liang Guo
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Correspondence to Tian Liang Guo.

Additional information

Communicated by Yong Zhou.

The author acknowledges the support by National Natural Science Foundation of China (11071001). The Project of Postgraduate Students Academic Innovation of Anhui University (yfc1000029).

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Guo, T.L. The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo. J Optim Theory Appl 156, 115–126 (2013). https://doi.org/10.1007/s10957-012-0233-0

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  • DOI: https://doi.org/10.1007/s10957-012-0233-0

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