Publication Cover
Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 5
363
Views
25
CrossRef citations to date
0
Altmetric
Articles

Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation

, &
Pages 842-863 | Received 10 Jun 2016, Accepted 05 Feb 2017, Published online: 01 Mar 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Danh Hua Quoc Nam, Le Dinh Long, Donal O'Regan, Tran Bao Ngoc & Nguyen Huy Tuan. (2022) Identification of the right-hand side in a bi-parabolic equation with final data. Applicable Analysis 101:4, pages 1157-1175.
Read now
Shuping Yang, Xiangtuan Xiong & Yaozong Han. (2020) A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder. International Journal of Computer Mathematics 97:11, pages 2375-2393.
Read now
J. Kokila & M. T. Nair. (2020) Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. Inverse Problems in Science and Engineering 28:3, pages 402-426.
Read now

Articles from other publishers (22)

Yan Wang & Zhi Qian. (2024) Regularizing a two-dimensional time-fractional inverse heat conduction problem by a fractional Landweber iteration method. Computers & Mathematics with Applications 164, pages 104-115.
Crossref
Xiaoli Feng, Xiaoyu Yuan, Meixia Zhao & Zhi Qian. (2024) Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. Calcolo 61:1.
Crossref
Chein-Shan Liu, Chung-Lun Kuo & Chih-Wen Chang. (2024) A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems. Symmetry 16:2, pages 191.
Crossref
Chenyu Zhang, Fan Yang & Xiaoxiao Li. (2024) Two Regularization Methods for Identifying the Spatial Source Term Problem for a Space-Time Fractional Diffusion-Wave Equation. Mathematics 12:2, pages 231.
Crossref
Songshu Liu, Tao Liu & Qiang Ma. (2023) On a Backward Problem for the Rayleigh–Stokes Equation with a Fractional Derivative. Axioms 13:1, pages 30.
Crossref
Chengxin Shi, Hao Cheng & Wenping Fan. (2023) An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder. Numerical Algorithms 94:4, pages 1619-1651.
Crossref
Liangliang Sun, Yuxin Wang & Maoli Chang. (2023) A Fractional-order Quasi-reversibility Method to a Backward Problem for the Multi-term Time-fractional Diffusion Equation. Taiwanese Journal of Mathematics 27:6.
Crossref
Mustafa Zeki, Ramazan Tinaztepe, Salih Tatar, Suleyman Ulusoy & Rami Al-Hajj. (2023) Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation. Fractal and Fractional 7:5, pages 371.
Crossref
Hongwei Zhang. (2022) Multiple importance unscented Kalman filtering with soft spatiotemporal constraint for multi‐passive‐sensor target tracking. International Journal of Robust and Nonlinear Control 33:1, pages 264-281.
Crossref
Fan Yang, Yin-Xia Gao, Dun-Gang Li & Xiao-Xiao Li. (2022) Identification of the Initial Value for a Time-Fractional Diffusion Equation. Symmetry 14:12, pages 2569.
Crossref
Xiaoli Feng, Meixia Zhao & Zhi Qian. (2022) A Tikhonov regularization method for solving a backward time–space fractional diffusion problem. Journal of Computational and Applied Mathematics 411, pages 114236.
Crossref
Fan Yang, Qiaoxi Sun & Xiaoxiao Li. (2022) Two Regularization Methods for Identifying the Source Term Problem on the Time-Fractional Diffusion Equation with a Hyper-Bessel Operator. Acta Mathematica Scientia 42:4, pages 1485-1518.
Crossref
Ravshan Ashurov & Yusuf Fayziev. (2022) On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations. Fractal and Fractional 6:1, pages 41.
Crossref
Fan Yang, Qu Pu & Xiao-Xiao Li. (2020) The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation. Numerical Algorithms 87:3, pages 1229-1255.
Crossref
Shuping Yang, Xiangtuan Xiong & Yan Nie. (2021) Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. Applied Numerical Mathematics 160, pages 217-241.
Crossref
G Floridia & M Yamamoto. (2020) Backward problems in time for fractional diffusion-wave equation. Inverse Problems 36:12, pages 125016.
Crossref
Nguyen Duc PHUONG, Tran BİNH & Nguyen LUC. (2020) On a final value problem for parabolic equation on the sphere with linear and nonlinear source. Advances in the Theory of Nonlinear Analysis and its Application 4:3, pages 143-151.
Crossref
Tran Bao Ngoc, Yong Zhou, Donal O’Regan & Nguyen Huy Tuan. (2020) On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives. Applied Mathematics Letters 106, pages 106373.
Crossref
Nguyen Huy Tuan, Vo Au, Le Nhat Huynh & Yong Zhou. (2020) Regularization of a backward problem for the inhomogeneous time‐fractional wave equation. Mathematical Methods in the Applied Sciences 43:8, pages 5450-5463.
Crossref
Dang Duc Trong, Dinh Nguyen Duy Hai & Nguyen Minh Dien. (2019) On a time–space fractional backward diffusion problem with inexact orders. Computers & Mathematics with Applications 78:5, pages 1572-1593.
Crossref
Nguyen Huy Tuan, Tran Bao Ngoc, Le Nhat Huynh & Mokhtar Kirane. (2019) Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition. Computers & Mathematics with Applications 78:5, pages 1651-1668.
Crossref
Nguyen Huy Tuan, Le Nhat Huynh, Tran Bao Ngoc & Yong Zhou. (2019) On a backward problem for nonlinear fractional diffusion equations. Applied Mathematics Letters 92, pages 76-84.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.