2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225302In this note we prove an existence and uniqueness result of solution for stochastic differential delay equations with hereditary drift driven by a fractional Brownian motion with Hurst parameter $H > 1/2$. Then, we show that, when the delay goes to zero, the solutions to these equations converge, almost surely and in $L^p$, to the solution for the equation without delay. The stochastic integral with respect to the fractional Brownian motion is a pathwise Riemann-Stieltjes integral.Probability60H10Convergence of delay differential equations driven by fractional Brownian motiontext