TY - JOUR
T1 - Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian
AU - Wang , Jianlin
AU - Xiong , Xiangtuan
AU - Cao , Xiaoxiao
JO - Journal of Partial Differential Equations
VL - 4
SP - 333
EP - 342
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/12947.html
KW - Inverse problem
KW - Ill-posedness
KW - error estimate
KW - fractional regularization method.
AB - <p>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.</p>