Methods for Parametric Identification of Fractional Differential Equations

The issues of parametric identification of fractional differential models describing theprocesses of anomalous diffusion/heat conductivity are considered. The emphasis is on the optionwith a spatially localized initial condition; this corresponds to the experimental approach todetermining diffusion characteristics. Methods are proposed for solving the identification problemthat do not require repeated solution of the direct problem. Testing the methods has been carriedout in a quasireal experiment mode.