M. Ghiat, S. Kamouche, A. Khellaf, W. Merchela, “On a system of Volterra integral equations with a weakly singular kernel”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021, Volume 193,Pages <nobr>33

This article is cited in 3 papers

On a system of Volterra integral equations with a weakly singular kernel

M. Ghiat^a, S. Kamouche^a, A. Khellaf^a, W. Merchela^b

^a Université 8 Mai 1945 - Guelma
^b Tambov State University named after G.R. Derzhavin

Abstract: In this paper, we examine the existence and uniqueness of solutions for a system of Volterra integral equations with a weakly singular kernel. We approximate the solution of this system using the product integration method. The accuracy and efficiency of this method are illustrated in some numerical examples.

Keywords: nonlinear Volterra integral equation, integro-differential equation, fixed point, product integration method.

UDC: 517.968

MSC: 45D05, 65D07, 65R20

DOI: 10.36535/0233-6723-2021-193-33-44