The main purpose of this paper is to investigate the existence, uniqueness, and regularity of solutions for systems of linear and nonlinear weakly singular Volterra integral equations of the first kind, which have been stated as research problems (for the linear case) by Brunner (2017). To get these results, we first state sufficient conditions for the existence and uniqueness of solutions for a system of weakly singular Volterra integral equations of the second kind. We demonstrate the results by giving an example.
"EXISTENCE, UNIQUENESS AND REGULARITY OF THE SOLUTION FOR A SYSTEM OF WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND." J. Integral Equations Applications 35 (1) 105 - 117, Spring 2023. https://doi.org/10.1216/jie.2023.35.105