Methods for Parametric Identification of Fractional Differential Equations.

The issues of parametric identification of fractional differential models describing the processes of anomalous diffusion/heat conductivity are considered. The emphasis is on the option with a spatially localized initial condition; this corresponds to the experimental approach to determining diffusion characteristics. Methods are proposed for solving the identification problem that do not require repeated solution of the direct problem. Testing the methods has been carried out in a quasireal experiment mode. [ABSTRACT FROM AUTHOR]