On a fractional backward heat conduction problem: Application to deblurring

In this paper, we consider a fractional backward heat conduction problem (FBHCP) in the two-dimensional space which is associated with a deblurring problem. From three different perspectives, we give all kinds of regularization methods. Based on a general form of regularization methods, we devise some new methods. Deblurring experiment shows that the new regularization methods work well for restoration of images.