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arXiv · 2208.02363

Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces

Zoubida Ech-chaffani·Ahmed Aberqi·Touria Karite·Delfim F. M. Torres
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Abstract

We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories.

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Zoubida Ech-chaffani, Ahmed Aberqi, Touria Karite, Delfim F. M. Torres. 2022-08-03. Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces. https://doi.org/10.3390/axioms11080379

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