Abstract: | An approximate method is proposed for calculating the product of the Rabotnov operator and a continuous function of time. A collocation method is used to construct an approximate solution of the Volterra equation with a nondifference kernel in the form of the product of a fractional-exponential function and an arbitrary function of time. The error of the approximate solution is estimated.Moscow Institute of Electronic Machine Building. Georgian Polytechnic Institute, Tbilisi. Translated from Mekhanika Polimerov, No. 1, pp. 77–81, January–February, 1973. |