Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces
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 res...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-07-01
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Series: | Axioms |
Subjects: | |
Online Access: | https://www.mdpi.com/2075-1680/11/8/379 |
Summary: | 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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ISSN: | 2075-1680 |