DETERMINATION OF TIME DEPENDENT FACTORS OF COEFFICIENTS IN FRACTIONAL DIFFUSION EQUATIONS

In the present paper, we consider initial-boundary value problems for partial differential equations with time-fractional derivatives which evolve in Q = Omega x (0, T) where Omega is a bounded domain of R-d and T > 0. We study the stability of the inverse problems of determining the time-dependent parameter in a source term or a coefficient of zero-th order term from observations of the solution at a point x(0) is an element of(Omega) over bar for all t is an element of (0, T).