This article is devoted to studying the existence, uniqueness, Mittag-Leffler-Hyers-Ulam stability and averaging results for \(\psi \) -Riemann–Liouville pantograph systems driven by fractional Brownian process and Lévy noise (jump component only) . By employing tools such as Cauchy inequality, Doob’s martingale inequality, kernel-based Wiener integral approach and Banach fixed point theorem, we first establish well-posedness of solutions, followed by an analysis of Mittag-Leffler-Hyers-Ulam stability results. Building on these foundations, we extend Khasminskii’s approach for averaging solutions to this class of systems. Under the Lipschitz, growth and averaging conditions, the study establishes a theoretical framework and prove the mean-square convergence between the original non-autonomous pantograph system and its simplified autonomous counterpart. Finally, we validate the theoretical framework via computational example and numerical simulations.
