Reconstructing the Right-Hand Side of a Fractional Subdiffusion Equation From the Final Data
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
Abstract
In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t=Tare given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under a priori and a posteriori parameter choice rules are proved.
Description
Le Dinh, Long/0000-0001-8805-4588; Nguyen, Huu-Can/0000-0001-6198-1015
Keywords
Time-Fractional Diffusion Equation, Truncation Method, Inverse Source Problem, Truncation (statistics), Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Economics, Inverse Problems, Epistemology, Mathematical analysis, Engineering, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Hadamard transform, Economic growth, Truncation method, Time-Fractional Diffusion Equation, FOS: Clinical medicine, Time-fractional diffusion equation, Statistics, Inverse source problem, A priori and a posteriori, Applied mathematics, FOS: Philosophy, ethics and religion, Algorithm, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Philosophy, Mechanics of Materials, Modeling and Simulation, Dentistry, Physical Sciences, Convergence (economics), Inverse problem, Medicine, Calculus (dental), Mathematics, Inverse problems for PDEs, truncation method, Fractional derivatives and integrals, inverse source problem, Fractional partial differential equations, time-fractional diffusion equation
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Luc, Nguyen Hoang...et al. (2020). "Reconstructing the right-hand side of a fractional subdiffusion equation from the final data", Journal of Inequalities and Applications, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
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OpenCitations Citation Count
11
Source
Journal of Inequalities and Applications
Volume
2020
Issue
1
Start Page
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Citations
Scopus : 15
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Mendeley Readers : 2
SCOPUS™ Citations
15
checked on Feb 24, 2026
Web of Science™ Citations
10
checked on Feb 24, 2026
Page Views
1
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