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

Advances in the Theory of Nonlinear Analysis and its Application(2021)

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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.
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Key words
source problem,fractional pseudo-parabolic problem,ill-posed problem,convergence estimates
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