An Inverse Coefficient Problem for a Time-fractional Pseudo-parabolic Equation with a Logarithmic Nonlinearity

In this paper, we investigate an inverse problem of identifying a time-dependent source coefficient in a time-fractional pseudo-parabolic equation with a logarithmic nonlinearity. The equation is supplemented with an additional measurement in the form of a spatial integral, together with initial and homogeneous Dirichlet boundary conditions, which enables the simultaneous determination of the solution and the unknown source coefficient. Under suitable assumptions on the given data, we establish the local-in-time existence and uniqueness of a weak solution and of the corresponding source coefficient.

Hali tarjima qilinmagan