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Controllability of Abstract Systems of Fractional Order

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Abstract

In this paper we are concerned with the controllability of control systems governed by a fractional differential equation in Banach spaces. Using the properties of the Mittag-Leffler function we generalize to these systems a result of Korobov and Rabakh, which was established for first order systems. We apply our results to study the controllability of a system modeled by a fractional integral equation in a Hilbert space.

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Authors and Affiliations

  1. Departmento de Matemática, Universidad de Santiago–, USACH Casilla 307, Correo–2, Santiago, Chile

    Therese Mur & Hernán R. Henríquez

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  1. Therese Mur
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  2. Hernán R. Henríquez
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Correspondence to Therese Mur.

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Mur, T., Henríquez, H.R. Controllability of Abstract Systems of Fractional Order. FCAA 18, 1379–1398 (2015). https://doi.org/10.1515/fca-2015-0080

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  • DOI: https://doi.org/10.1515/fca-2015-0080

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