An inverse problem for a fractional diffusion equation with fractional power type nonlinearities

<p style='text-indent:20px;'>We study the well-posedness of a semi-linear fractional diffusion equation and formulate an associated inverse problem. We determine power type nonlinearities from exterior partial measurements Dirichlet-to-Neumann map. Our arguments are based on first order linearization as well parabolic Runge approximation property.</p>