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Point source identiication in time-fractional diffusion equation

Abstract : This article investigates the source identification in the fractional diffusion equations, by performing a single measurement of the Cauchy data on the accessible boundary. The main results of this work consist in giving an identifiability result and establishing a local Lipschitz stability result. To solve the inverse problem of identifying fractional sources from such observations, a non-iterative algebraic method based on the Reciprocity Gap functional is proposed.
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https://hal.archives-ouvertes.fr/hal-02928208
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Submitted on : Wednesday, September 2, 2020 - 12:37:25 PM
Last modification on : Wednesday, October 28, 2020 - 12:10:04 PM
Long-term archiving on: : Wednesday, December 2, 2020 - 4:21:32 PM

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  • HAL Id : hal-02928208, version 1

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Ridha Mdimagh, Imen Saad. Point source identiication in time-fractional diffusion equation. CARI 2020 - Colloque Africain pour la Recherche en Informatique et Mathématiques Appliquées, Oct 2020, Thiès, Sénégal. ⟨hal-02928208⟩

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