arXiv subjects

Hayat Zouiten

Publications and source records attributed to Hayat Zouiten.

2 recordsLinked to original sources

arXiv2018

Regional Enlarged Observability of Fractional Differential Equations with Riemann-Liouville Time Derivatives

We introduce the concept of regional enlarged observability for fractional evolution differential equations involving Riemann-Liouville derivatives. The Hilbert Uniqueness Method (HUM) is used to reconstruct the initial state between two prescribed functions, in an interested subregion of the whole domain, without the knowledge of the state.

math.OC↗

arXiv2018

Regional enlarged observability of Caputo fractional differential equations

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.

math.OC↗