Gouari, YazidDahmani, ZoubirBelhamiti, Meriem MansouriaSarikaya, Mehmet Zeki2024-08-232024-08-2320230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.1099https://hdl.handle.net/20.500.12684/14046We study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin of the time axis and it involves convergent series combined with Riemann-Liouville integrals. We prove an existence and uniqueness result for our problem. Some examples are given to illustrate the uniqueness result. The Ulam-Hyers stability for the problem is also studied. Then, thanks to some numerical techniques, that allow us to approximate the Caputo derivatives, and by using the Runge-Kutta method, we present a numerical study with some simulations to show more comprehension of the proposed examples.en10.1216/rmj.2023.53.1099info:eu-repo/semantics/openAccessCaputo derivativefixed pointRunge-Kutta methodUlam-Hyers stabilitysingular differential equationEquationsArticle534109911162-s2.0-85172812572WOS:001071325400007Q2Q2