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Null-Controllability of A Fractional Order Diffusion Equation

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Abstract

The article considers the controllability of a fractional order diffusion equation. We show that the resulting fractional order diffusion equation is null-controllable. Our method reduces essentially to the study of a moment problem related to the Mittag-Leffler functions. Paley-Wiener type theorems are applied to construct biorthogonal sequence to a family of complex Mittag-Leffler functions.

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Authors and Affiliations

  1. Department of Mathematics, 650093, Kunming, YunNan Province, China

    Yang Xiangdong

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  1. Yang Xiangdong
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Correspondence to Yang Xiangdong.

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Xiangdong, Y. Null-Controllability of A Fractional Order Diffusion Equation. FCAA 20, 232–242 (2017). https://doi.org/10.1515/fca-2017-0012

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  • DOI: https://doi.org/10.1515/fca-2017-0012

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