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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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