Abstract
Abstract Recently, fractional Landweber and iterative fractional Tikhonov method are well investigated for solving ill-posed problems. In this paper, based on a special discretization scheme of the gradient flow equation, a general iterative scheme is obtained. We call it iterative fractional Tikhonov–Landweber method. Error analysis is conducted for this method. A preliminary numerical test shows that the proposed method has its advantage.
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