Abstract:
The method for parametric identification of Cauchy problem for a fractional differential equation with fractional differential operator of $\alpha \in (0, 1)$ degree according to instantaneous values of experimental observations is suggested. The method is based on computation of mean-square estimations for coefficients of linear parametric discrete model of approximation function. Numerically-analytical investigations have been done, the results let us conclude about high efficiency of the method.
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