This paper aims to provide a rigorous analysis of exponential convergence of an adaptive
spectral collocation method for a general nonlinear system of rational-order fractional initial …

In this paper, a new numerical algorithm for solving the time fractional convection–diffusion
equation with variable coefficients is proposed. The time fractional derivative is estimated …

In this paper, the recursive approach of the τ-method is developed to construct new
fractional order canonical polynomials for solving systems of Abel–Volterra integral …

In this article, we develop the Jacobi spectral multi-Galerkin method alongside the Kumar-
Sloan technique to approximate systems of non-linear Volterra Hammerstein integral …

In this paper, the existence and uniqueness of the solution of Fredholm-Volterra integral
equation is considered (NF-VIE) with continuous kernel; then we used a numerical method …

In this article, we apply Jacobi spectral Galerkin, multi-Galerkin methods and their iterated
versions to approximate the system of Volterra integral equations for smooth as well as …

The aim of the present paper is to suggest a novel technique based on the operational
matrix approach for solving a fractional weakly singular two-dimensional partial Volterra …

In recent decades, the fractional Fourier transform as well as the linear canonical transform
became very efficient tools in a variety of approximation and signal processing applications …

In this paper, we proposed an efficient approach for solving the multi-dimensional systems of
weakly singular Volterra integral equations (SVIEs). The solution of these equations may be …

This paper tries to provide an attractive framework based on Block-Pulse functions for
numerical solution of a system of two-dimensional Volterra integral equations of the second …