Volterra operator,Volterra equation,operational matrix,fuzzy partition

We have calculated the operational matrix of the Volterra operator by applying the integral operator to the basic functions of a fuzzy partition, and reduced the equation to a system of linear equations with a (non-degenerate) triangular matrix of coefficients. An easily found solution to this system gives the F-transform components of the unknown function and its approximation in the form of the inverse F-transform. We proved the convergence theorem and gave estimations of the numerical complexity of the proposed method.