@Article{JPDE-31-333, author = {Wang , JianlinXiong , Xiangtuan and Cao , Xiaoxiao}, title = {Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian}, journal = {Journal of Partial Differential Equations}, year = {2019}, 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 = {http://global-sci.org/intro/article_detail/jpde/12947.html} }