Controllability and optimal control for fractional neutral evolution systems with Caputo derivative

Touria Karite; Ahmed Aberqi; Zoubida Ech-chafani

doi:10.5269/bspm.62856

Controllability and optimal control for fractional neutral evolution systems with Caputo derivative

Autores/as

Touria Karite National School of Applied Sciences of Fez https://orcid.org/0000-0002-7074-764X
Ahmed Aberqi National School of Applied Sciences of Fez https://orcid.org/0000-0003-3599-9099
Zoubida Ech-chafani

DOI:

https://doi.org/10.5269/bspm.62856

Resumen

The purpose of this paper is to study the controllability of a class of fractional neutral evolution equations involving Caputo fractional derivative of order $\alpha\in ]0,1[$. First, we prove the result with the help of fractional calculus theory, semi-group theory and Banach fixed point theorem under some assumptions, then we concentrate on the determination of a control achieving this kind of controllability with minimum energy. An example is given to validate the obtained results.