Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces
Optimization and Control
2022-08-05 v1
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.
Keywords
Cite
@article{arxiv.2208.02363,
title = {Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces},
author = {Zoubida Ech-chaffani and Ahmed Aberqi and Touria Karite and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2208.02363},
year = {2022}
}
Comments
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]