Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 407
Exact contrllability and optimal control for fractional neutral evolution systems with Caputo derivative
Ech-Chaffani Zoubida, Aberqi Ahmed, Karite Touria
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2343
April 15, 2343

Abstract: The purpose of this paper is to study the exact 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 exact controllability with minimum energy. An example is given to validate the obtained results.