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Source Identification Problem for a Nonlinear Subdiffusion Equation
R. R. Ashurov, O. T. Mukhiddinova
https://arxiv.org/abs/2506.11519 https://

Source Identification Problem for a Nonlinear Subdiffusion Equation
The work is devoted to the study of the inverse problem of determining the right-hand side of a nonlinear subdiffusion equation with a Caputo derivative with respect to time. Nonlinearity of the equation means that the right-hand side of the equation depends nonlinearly on the solution of the equation. The inverse problem consists of reconstructing the coefficient of the right-hand side, which depends on both time and spatial variables, under a measurement in an integral form. Similar inverse p…