Detection of a Spatial Source Term Within a Multi-Dimensional, Multi-Term Time-Space Fractional Diffusion Equation

Detection of a Spatial Source Term Within a Multi-Dimensional, Multi-Term Time-Space Fractional Diffusion Equation

The main objective of this study was to identify the undetermined source term (ST) in a fractional space-time scattering equation with multiple terms, using data obtained from the most recent observations. To address this complex problem, we reformulated the equation by adopting a regularization-bas...

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Bibliographic Details
Main Authors: Mofareh Alhazmi, Yasser Alrashedi, Hamed Ould Sidi, Maawiya Ould Sidi
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
fractional equation of time and space
fractional Laplacian
inverse source term
regularization method
optimization problem
Online Access:https://www.mdpi.com/2227-7390/13/5/705
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