Reconstruct the unknown source for the fractional elliptic equations : Regularization method and error estimates
Keywords:
Regularization method, Fractional pseudo-parabolic problem, Ill-posed problem, Nonlocal problem, Convergence estimatesAbstract
The paper discusses the inverse problem of determining an unknown source term in a fractional elliptic equation in bounded domain. In order to solve the considered problem, a fractional Tikhonov is used. Applying this method, having a regularized solution is constructed. An a priori and a posteriori error estimates are obtained, and the the terminal data has a random data is considered.
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