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Time optimal controls for Hilfer fractional evolution equations

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Abstract

This article investigates time optimal controls for the Cauchy problem of Hilfer fractional evolution equations. At first, by employing the fixed point technique and the operator semigroup theory, an existence theorem is obtained. Then the existence of time optimal control pair is studied by applying an approximate technique. An example is given as applications in the last section.

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Funding

This study was supported by the Natural Science Foundation of Gansu Province under Grant No. 22JR5RA875.

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  1. College of Science, Gansu Agricultural University, Lanzhou, 730073, Gansu, China

    Yue Liang

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  1. Yue Liang
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Correspondence to Yue Liang.

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Liang, Y. Time optimal controls for Hilfer fractional evolution equations. Fract Calc Appl Anal 27, 157–172 (2024). https://doi.org/10.1007/s13540-023-00213-9

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  • DOI: https://doi.org/10.1007/s13540-023-00213-9

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