Inverse source problem for a diffusion equation involving the fractional spectral Laplacian

In this paper, we consider an inverse problem related to a fractional diffusion equation. The model problem is governed by a nonlinear partial differential equation involving the fractional spectral Laplacian. This study is focused on the reconstruction of an unknown source term from a partial inter...

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Vydáno v:	Mathematical methods in the applied sciences Ročník 44; číslo 1; s. 917 - 936
Hlavní autoři:	BenSalah, Mohamed, Hassine, Maatoug
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Freiburg Wiley Subscription Services, Inc 15.01.2021
Témata:	fractional diffusion equation fractional spectral Laplacian Inverse problems inverse source problem Iterative methods minimization problem Noise reduction Nonlinear differential equations nonlocal operator numerical reconstruction algorithm Optimization Partial differential equations Reconstruction source term
ISSN:	0170-4214, 1099-1476
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