An Inverse Source Problem for Pseudo-Parabolic Equation With Caputo Derivative
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
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 paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed to solve the problem. In addition, we present numerical examples to illustrate applicability and accuracy of the proposed method to some extent.
Description
Tatar, Salih/0000-0003-4669-0169; Nguyen, Huu-Can/0000-0001-6198-1015
Keywords
Source Problem, Fractional Pseudo-Parabolic Problem, Ill-Posed Problem, Convergence Estimates, Regularization, Inverse problems for PDEs, Fixed-point theorems, Nonlinear ill-posed problems, inverse source problem, convergence estimates, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, fractional pseudo-parabolic problem, ill-posed problem, Tikhonov regularization method, Ultraparabolic equations, pseudoparabolic equations, etc., Fractional partial differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Long, Le Dinh...et al. (2021). "An inverse source problem for pseudo-parabolic equation with Caputo derivative", Journal of Applied Mathematics and Computing.
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
14
Source
Journal of Applied Mathematics and Computing
Volume
68
Issue
2
Start Page
739
End Page
765
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Citations
Scopus : 18
SCOPUS™ Citations
20
checked on Feb 26, 2026
Web of Science™ Citations
19
checked on Feb 26, 2026
Page Views
1
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