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Exact Controllability of Abstract Fractional Evolution Systems

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Abstract

This paper studies the exact controllability of semilinear \(q\in (1,2)\)-order fractional evolution systems with a weighted delay initial condition in abstract spaces. Firstly, with the aid of properties of the strongly continuous cosine family, the expression of mild solutions of the concerned problem is presented. Exact controllability results are achieved under essential conditions on f. An example as an application is also given.

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Funding

The research is supported by the NNSF of China (No. 12061062).

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Authors and Affiliations

  1. Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, College of Mathematics and Statistics, Northwest Normal University, Lanzhou Gansu, 730070, China

    He Yang

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  1. He Yang
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Correspondence to He Yang.

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Communicated by Jen-Chih Yao.

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Yang, H. Exact Controllability of Abstract Fractional Evolution Systems. J Optim Theory Appl 200, 1239–1254 (2024). https://doi.org/10.1007/s10957-023-02373-3

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  • DOI: https://doi.org/10.1007/s10957-023-02373-3

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