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Title: Regional enlarged observability of Caputo fractional differential equations
Author: Zouiten, Hayat
Boutoulout, Ali
Torres, Delfim F. M.
Keywords: Fractional evolution systems
Caputo time derivatives
Enlarged observability
Regional reconstruction
HUM approach
Issue Date: Mar-2020
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: 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.
Peer review: yes
DOI: 10.3934/dcdss.2020060
ISSN: 1937-1632
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

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