@Article{JPDE-31-4, author = {Wang, Jianlin and Xiong, Xiangtuan and Xiaoxiao, Cao}, title = {Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {4}, pages = {333--342}, abstract = {
In this paper, we consider a time-fractional backward problem with a fractional Laplacian. We propose a fractional Tikhonov regularization method for solving this problem under the the a-priori parameter choice rule. Error estimates are proved. Some numerical examples are shown to verify the effectiveness of the proposed method.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n4.4}, url = {https://global-sci.com/article/88215/fractional-tikhonov-regularization-method-for-a-time-fractional-backward-heat-equation-with-a-fractional-laplacian} }