An inverse source problem for pseudo-parabolic equation with Caputo derivative

被引：0
|
作者：
Le Dinh Long
Nguyen Hoang Luc
Salih Tatar
Dumitru Baleanu
Nguyen Huu Can
机构：
[1] Thu Dau Mot University,Division of Applied Mathematics
[2] Alfaisal University,Department of Mathematics and Computer Science, College of Science and General Studies
[3] Cankaya University,Department of Mathematics
[4] China Medical University Hospital,Department of Medical Research
[5] China Medical University,Applied Analysis Research Group, Faculty of Mathematics and Statistics
[6] Institute of Space Sciences,undefined
[7] Ton Duc Thang University,undefined
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Source problem; Fractional pseudo-parabolic problem; Ill-posed problem; Convergence estimates; Regularization; 35K05; 35K99; 47J06; 47H10x;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：739 / 765
页数：26
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