Bui NGHİA, Nguyen LUC, Ho BİNH, Le Dinh LONG

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

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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