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, which corresponds to the experimental approach to determine diffusion characteristics. Methods are proposed for solving the identification problem that do not require multiple solutions of the direct problem. Testing of methods is carried out in a quasi-real experiment mode.