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The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 8
作者:  Chen, Yong-Gang;  Yang, Fan;  Li, Xiao-Xiao;  Li, Dun-Gang
收藏  |  浏览/下载:26/0  |  提交时间:2022/09/22
Two Regularization Methods for Identifying the Source Term Problem on the Time-Fractional Diffusion Equation with a Hyper-Bessel Operator 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 4, 页码: 1485-1518
作者:  Yang, Fan;  Sun, Qiaoxi;  Li, Xiaoxiao
收藏  |  浏览/下载:8/0  |  提交时间:2022/07/19
Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2021, 卷号: 175, 期号: 1
作者:  Yang, Fan;  Fu, Jun-Liang;  Fan, Ping;  Li, Xiao-Xiao
收藏  |  浏览/下载:3/0  |  提交时间:2021/12/17
The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation 期刊论文
NUMERICAL ALGORITHMS, 2021, 卷号: 87, 期号: 3, 页码: 1229-1255
作者:  Yang, Fan;  Pu, Qu;  Li, Xiao-Xiao
收藏  |  浏览/下载:6/0  |  提交时间:2021/10/14
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:  Yang, Fan;  Sun, Qiao-Xi;  Li, Xiao-Xiao
收藏  |  浏览/下载:11/0  |  提交时间:2021/03/12
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data 期刊论文
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 卷号: 16
作者:  Nong, Lijuan;  Chen, An;  Cao, Jianxiong
收藏  |  浏览/下载:10/0  |  提交时间:2021/04/12
Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2306-2356
作者:  Yang, Fan;  Sun, Qiao-Xi;  Li, Xiao-Xiao
收藏  |  浏览/下载:5/0  |  提交时间:2021/06/03
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:  Yang, Fan;  Wang, Qian-Chao;  Li, Xiao-Xiao
收藏  |  浏览/下载:12/0  |  提交时间:2021/06/03
The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation 期刊论文
Journal of Computational and Applied Mathematics, 2020, 卷号: 380
作者:  Yang, Fan;  Pu, Qu;  Li, Xiao-Xiao
收藏  |  浏览/下载:9/0  |  提交时间:2022/02/17
The Quasi-Boundary Value Method for Identifying the Initial Value of the Space-Time Fractional Diffusion Equation 期刊论文
ACTA MATHEMATICA SCIENTIA, 2020, 卷号: 40, 期号: 3, 页码: 641-658
作者:  Yang, Fan;  Zhang, Yan;  Liu, Xiao;  Li, Xiaoxiao
收藏  |  浏览/下载:5/0  |  提交时间:2022/03/01


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