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arXiv · 1807.01110

Regional enlarged observability of Caputo fractional differential equations

Hayat Zouiten·Ali Boutoulout·Delfim F. M. Torres
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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.

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Hayat Zouiten, Ali Boutoulout, Delfim F. M. Torres. 2018-07-03. Regional enlarged observability of Caputo fractional differential equations. https://doi.org/10.3934/dcdss.2020060

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