Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/35009
Title: Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces
Author: Ech-chaffani, Zoubida
Aberqi, Ahmed
Karite, Touria
Torres, Delfim F. M.
Keywords: Fractional control systems
Neutral evolution systems
Controllability
Optimal control
Minimum energy
Banach fixed point theorem
Issue Date: 2022
Publisher: MDPI
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.
Peer review: yes
URI: http://hdl.handle.net/10773/35009
DOI: 10.3390/axioms11080379
Publisher Version: https://www.mdpi.com/2075-1680/11/8/379
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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