A product integral solution of a Stieltjes-Volterra integral equation.

Volterra-stieltjes Integral Equation in Reflexive Banach Spaces

Volterra-Stieltjes integral equations have been studied in the space of continuous functions in many papers for example, (see [3]-[7]). Our aim here is to studing the existence of weak solutions to a nonlinear integral equation of Volterra-Stieltjes type in a reflexive Banach space. A special case will be considered.

Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also ...

A Solution of Generalized Fractional Volterra Type Integral Equation Involving

Department of Mathematics, NRI Institute of Technology and Management, Gwalior-474001, India Address: B-3, Krishna Puri, Taraganj, Lashkar, Gwalior (M.P.)-474001, India E-mail: [email protected], [email protected] School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.)-474011, India E-mail: [email protected] Research Scholar, Suresh Gyan Vihar ...

A solution of Volterra-Hamerstain integral equation in partially ordered sets

A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation

In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...