$Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements$

Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements

An inverse problem to recover a space-dependent factor of a source term and an order of a time derivative in a fractional diffusion equation from final data is considered. The uniqueness and stability of the solution to this problem is proved. A direct method to regularize the problem is proposed.

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Bibliographische Detailangaben
Veröffentlicht in:	Inverse problems 2018-02, Vol.34 (2), p.25007
Hauptverfasser:	Janno, Jaan, Kinash, Nataliia
Format:	Artikel
Sprache:	eng
Schlagworte:	fractional diffusion fractional parabolic equation inverse source problem
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	An inverse problem to recover a space-dependent factor of a source term and an order of a time derivative in a fractional diffusion equation from final data is considered. The uniqueness and stability of the solution to this problem is proved. A direct method to regularize the problem is proposed.
ISSN:	0266-5611 1361-6420
DOI:	10.1088/1361-6420/aaa0f0