In this paper, a numerical method for solving time‐varying delay equations and optimal
control problems with time‐varying delay systems is discussed. This method is based upon …

Shannon wavelets are used to define a method for the solution of integrodifferential
equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet …

In this paper, we introduce the Petrov-Galerkin method for solution of stochastic Volterra
integral equations. Here, we use continues Lagrange-type k-0 elements, since these …

In this article, we discuss the existence of solution for the functional integral equations in the
Banach space BC (R+) of real-valued continuous and bounded functions, using the method …

This manuscript is devoted to present an efficient numerical method for finding numerical
solution of Volterra-Fredholm integro-differential equations of fractional-order. The technique …

The interpolation wavelet is used to solve the Fredholm integral equation of the second kind
in this study. Hence, by the extension of interpolation wavelets that [− 1, 1] is divided to 2 N+ …

This study aims to solve the renewal delay integro-differential equations constrained by the
half-line, introducing a computational method composed of the matrix relations of the …

In this paper, we use Petrov-Galerkin elements such as continuous and discontinuous
Lagrange-type k-0 elements and Hermite-type 3-1 elements to find an approximate solution …

In this article, we discuss the existence of solution using compact operators for Fredholm
integral equations system (F. IES). Also we use Galerkin method in a n-dimensional Hilbert …

In this paper, we numerically investigate the relativistic self-focusing of laser beam with
LG01 mode in plasmas. An effective potential is introduced to identify the critical power …