In this paper, we consider problems of discrete approximation special integral operators with the Calderon–Zygmund kernel. We introduce spaces and bounded acting in these spaces; then use for search approximate solutions corresponding equations. state theorems on solvability equations operators, compare their analogs, obtain estimates errors solutions.

in this paper, we introduce an efficient method for solving the quadratic riccati differential equation. in this technique, combination of laplace transform and new homotopy perturbation methods (ltnhpm) are considered as an algorithm to the exact solution of the nonlinear riccati equation. unlike the previous approach for this problem, so-called nhpm, the present method, does not need the init...

This paper successfully applies the Adomian decomposition  and the modified Laplace Adomian decomposition methods to find  the approximate solution of a nonlinear fractional Volterra-Fredholm integro-differential equation. The reliability of the methods and reduction in the size of the computational work give these methods a wider applicability. Also, the behavior of the solution can be formall...

In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel.

This article presents many different areas of practical applications multivariate cluster analysis under conditions fuzzy initial data that are described in the literature. New algorithms and formula expressions proposed for combining various multi-dimensional objects, parameters which given by fuzzy-sets, into clusters along with calculating coordinates centroids their membership functions. Va...

The problem of the combination of imprecision and uncertainty combination from the approximate reasoning point of view is addressed. An imprecise and uncertain information can be represented as a fuzzy quantity together with a certainty value. In order to simplify the use of such information, it is necessary to combine the imprecision and uncertainty of the fuzzy number. In this paper we propos...