In recent years, as detailed in several monographs, derivations of the fractional differential
equations and fractional integral equations are based on random functional or stochastic …

In this article, an idea based on moving least squares (MLS) and spectral collocation method
is used to estimate the solution of nonlinear stochastic Volterra–Fredholm integral equations …

In this paper, the n-dimensional stochastic Itô-Volterra integral equation is numerically
solved via quintic B-spline collocation method. To reach this aim, the quintic B-spline …

The authors propose a numerical iterative algorithm based on a combination of the
successive approximations method and the bilinear spline interpolation. This algorithm is …

In this paper, the conditions for the existence of a solution for fractional stochastic functional
integral in Banach space are investigated. For this purpose, the concept of noncompactness …

This paper considers Lévy noise driven nonlinear stochastic Volterra integral equations with
doubly weakly singular kernels, whose singular points include both s= 0 and s= t. The …

This investigation presents an effective numerical scheme using a new set of basis
functions, namely, the piecewise barycentric interpolating functions, to find the approximate …

In this study, the second kind Volterra integral equations (VIEs) are considered. An algorithm
based on the two-point Taylor formula as a special case of the Hermite interpolation is …

In this paper, an efficient and accurate numerical iterative algorithm based on the linear
spline interpolation for solving the system of nonlinear stochastic Itô‐Volterra integral …

In the current study, an efficient iterative scheme which is based on the two powerful tools
called the quasilinearization method and the Jacobi-Galerkin method is proposed to solve a …