Method for identifying the parameters of a fractional model

Khvorova Alla Nikolaevna, Pirozhkov Viktor Grigorievich, Temirkhan Sultanovich Aleroev

The paper considers one of the problems of solving inverse problems of equations containing a derivative of fractional order. A number of methods for identifying parameters of fractional models arising in various problems of mechanics, oscillation theory and hydrodynamics are described. These techniques are used for the first time in such tasks and are distinguished by their ease of use, and can also be extended to solving many problems in other fields of science.

Keywords:fractional order differential equation, inverse problem of solving a differential equation, mathematical model of viscoelasticity, identification of a fractional order derivative parameter.