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.
引用
收藏
页码：739 / 765
页数：26
相关论文
共 50 条
  • [21] An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation
    Huntul, M. J.
    Tekin, I.
    Iqbal, Muhammad Kashif
    Abbas, Muhammad
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 442
  • [22] An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order
    Mehraliyev, T. Yashar
    Ramazanova, T. Aysel
    Huntul, M. J.
    RESULTS IN APPLIED MATHEMATICS, 2022, 14
  • [23] On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation
    Nguyen Hoang Luc
    Kumar, Devendra
    Le Thi Diem Hang
    Nguyen Huu Can
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (06) : 4353 - 4364
  • [24] INITIAL BOUNDARY VALUE PROBLEM FOR A INHOMOGENEOUS PSEUDO-PARABOLIC EQUATION
    Zhou, Jun
    ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (01): : 67 - 90
  • [25] On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation
    Luc, Nguyen Hoang
    Kumar, Devendra
    Diem Hang, Le Thi
    Can, Nguyen Huu
    Can, Nguyen Huu (nguyenhuucan@tdtu.edu.vn), 1600, Elsevier B.V. (59): : 4353 - 4364
  • [26] INVERSE PROBLEM FOR SUBDIFFUSION EQUATION WITH FRACTIONAL CAPUTO DERIVATIVE
    Ashurov, R. R.
    Shakarova, M. D.
    UFA MATHEMATICAL JOURNAL, 2024, 16 (01): : 112 - 126
  • [27] ON A FINAL VALUE PROBLEM FOR A NONLINEAR FRACTIONAL PSEUDO-PARABOLIC EQUATION
    Vo Van Au
    Jafari, Hossein
    Hammouch, Zakia
    Nguyen Huy Tuan
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (01): : 1709 - 1734
  • [28] Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions
    Nguyen Duc PHUONG
    Le Dinh LONG
    Anh Tuan NGUYEN
    Dumitru BALEANU
    ActaMathematicaSinica,EnglishSeries, 2022, (12) : 2199 - 2219
  • [29] Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions
    Nguyen Duc Phuong
    Le Dinh Long
    Anh Tuan Nguyen
    Baleanu, Dumitru
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (12) : 2199 - 2219
  • [30] A degenerate pseudo-parabolic equation with memory
    Amar, Micol
    Andreucci, Daniele
    Gianni, Roberto
    Timofte, Claudia
    COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2019, 10 (01): : 71 - 77
12345