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On a Non-local Sobolev–Galpern-Type Equation Associated with Random Noise

On a Non-local Sobolev–Galpern-Type Equation Associated with Random Noise

Abstract This paper aims to retrieve the initial value for a non-local fractional Sobolev–Galpern problem. The given data are subject to noise by the discrete random model. We show that the solution to the problem is ill-posed in the sense of Hadamard. In this paper, we applied the Fourier truncation …