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Regional observability for linear time fractional systems

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  • Zguaid, Khalid
  • El Alaoui, Fatima Zahrae
  • Boutoulout, Ali

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.

Suggested Citation

  • Zguaid, Khalid & El Alaoui, Fatima Zahrae & Boutoulout, Ali, 2021. "Regional observability for linear time fractional systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 77-87.
    • Handle: RePEc:eee:matcom:v:185:y:2021:i:c:p:77-87
    DOI: 10.1016/j.matcom.2020.12.013
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    References listed on IDEAS

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    1. Abdeljawad, Thabet & Atangana, Abdon & Gómez-Aguilar, J.F. & Jarad, Fahd, 2019. "On a more general fractional integration by parts formulae and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
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    Cited by:

    1. Zguaid, Khalid & El Alaoui, Fatima-Zahrae, 2022. "Regional boundary observability for Riemann–Liouville linear fractional evolution systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 272-286.

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