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Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces
- Source :
- Axioms 11 (2022), no. 8, Art. 379, 14 pp
- Publication Year :
- 2022
-
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.<br />Comment: This is a preprint of a paper whose final and definite form is published Open Access in 'Axioms' at [https://doi.org/10.3390/axioms11080379]
- Subjects :
- Mathematics - Optimization and Control
26A33, 34K40, 49J30, 93B05
Subjects
Details
- Database :
- arXiv
- Journal :
- Axioms 11 (2022), no. 8, Art. 379, 14 pp
- Publication Type :
- Report
- Accession number :
- edsarx.2208.02363
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.3390/axioms11080379