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

Abstract

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.

arXiv commentSubmitted Nov 4, 2018; Revised Nov 25, 2018; Accepted to Axioms (ISSN 2075-1680) Nov 28, 2018 [https://www.mdpi.com/journal/axioms]. arXiv admin note: substantial text overlap with arXiv:1807.01110

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Cited by in corpus (1)

• Regional Gradient Observability for Fractional Differential Equations with Caputo Time-Fractional Derivatives