Modified fractional Landweber iterative method for the source identification problem of pseudo-parabolic equation

This article studies a source identification problem of a fractional pseudo-parabolic equation in which the identified source depends on the spatial variable. Based on the ill-posedness analysis, we first establish a conditional stability result of Hölder type for this problem. Then, by combining with the fractional Landweber iteration method and Fourier truncation technique, we construct a modifi…