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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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [515]Ech-chaffani_Aberqi_Karite_Torres.pdf | 304.15 kB | Adobe PDF | View/Open |
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