2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107702We derive estimates for the solutions to differential equations driven by a Hölder continuous function of order $β>1/2$. As an application we deduce the existence of moments for the solutions to stochastic partial differential equations driven by a fractional Brownian motion with Hurst parameter $H>{1/2}$.12 pagesProbabilityClassical Analysis and ODEs60H10, 26a33text