In this work, we scrutinize the existence and uniqueness of the solution to the Integro
differential equations for the Caputo fractional derivative on the time scale. We derive the …

For a stochastic COVID-19 model with jump-diffusion, we prove the existence and
uniqueness of the global positive solution. We also investigate some conditions for the …

The aim of this article is to consider a class of neutral Caputo fractional stochastic evolution
equations with infinite delay (INFSEEs) driven by fractional Brownian motion (fBm) and …

In this work, we study the A [α]–stability of the additive methods of Runge-Kutta kind of
orders ranging from 2 up to 4 that will be applied for determining some stiff nonlinear system …

This paper aims to developed a high-order and accurate method for the solution of one-
dimensional Lotka-Volterra-diffusion with Numman boundary conditions. A fourth-order …

In this work, we present the analysis of a mixed weighted fractional Brownian motion,
defined by η t:= B t+ ξ t, where B is a Brownian motion and ξ is an independent weighted …

This paper mainly considers the optimal convergence analysis of the B–Maruyama method
for stochastic Volterra integro-differential equations (SVIDEs) driven by Riemann–Liouville …

This paper presents a numerical method based on the least squares method and the second
kind Chebyshev wavelets for solving the multi-dimensional Itô Volterra integral equations …

In this paper we give a uniform approximation of a CNN-Hopfield type impulsive system by
means of an IDEPCA approximating system. As a consequence of the uniform …

In this paper, a fast θ-Maruyama method is proposed for solving stochastic Volterra integral
equations of convolution type with singular and Hölder continuous kernels based on the …