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

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...

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Veröffentlicht in:Axioms 2018-12, Vol.7 (4), p.92
Hauptverfasser: Zouiten, Hayat, Boutoulout, Ali, Torres, Delfim F. M.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Control theory
Derivatives
Differential equations
enlarged observability
fractional evolution systems
HUM approach
Mathematical analysis
Mathematicians
Partial differential equations
regional reconstruction
Riemann–Liouville time derivatives
Sensors
Viscoelasticity
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Zusammenfassung: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms7040092