Regional observability for linear time fractional systems

Khalid Zguaid, Fatima Zahrae El Alaoui and Ali Boutoulout

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 185, issue C, 77-87

Abstract: In this work we deal with the regional observability problem, the purpose here is to reconstruct the initial state for a class of linear time-fractional systems, in a subregion ω of the evolution domain Ω, using an extension of Hilbert Uniqueness Method (HUM) introduced by Lions. This approach allows us to transform the regional reconstruction problem into a solvability one, which gives the initial state in ω as a solution of well chosen mapping and leads to an algorithm that enables us to reconstruct it. The efficiency of the proposed algorithm is illustrated with some successful numerical simulations that we give in the last section.

Keywords: Regional observability; Fractional diffusion systems; Hilbert Uniqueness Method; Fractional Calculus (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:185:y:2021:i:c:p:77-87

DOI: 10.1016/j.matcom.2020.12.013

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