Regional enlarged observability of Caputo fractional differential equations
Optimization and Control
2019-03-26 v1
Abstract
We consider the regional enlarged observability problem for fractional evolution differential equations involving Caputo derivatives. Using the Hilbert Uniqueness Method, we show that it is possible to rebuild the initial state between two prescribed functions only in an internal subregion of the whole domain. Finally, an example is provided to illustrate the theory.
Keywords
Cite
@article{arxiv.1807.01110,
title = {Regional enlarged observability of Caputo fractional differential equations},
author = {Hayat Zouiten and Ali Boutoulout and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1807.01110},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), available at [http://aimsciences.org/journal/1937-1632]. Paper Submitted 25-Apr-2018; Revised 01-July-2018; Accepted 03-July-2018