Regularization method for the problem of determining the source function using integral conditions

Year 2021, Volume: 5 Issue: 3, 351 - 361, 30.09.2021

Bui Nghia Nguyen Luc Ho Binh Le Dinh Long

https://doi.org/10.31197/atnaa.933212

Cited By: 5

Abstract

In this article, we deal with the inverse problem of identifying the unknown source of the time-fractional diffusion equation in a cylinder equation by A fractional Landweber method. This problem is ill-posed. Therefore, the regularization is required. The main result of this article is the error between the sought solution and its regularized under the selection of a priori parameter choice rule.

Keywords

Source problem, Fractional pseudo-parabolic problem, Ill-posed problem; Convergence estimates; Regularization, Ill-posed problem;, Convergence estimates; Regularization, Convergence estimates;

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