2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168005In this paper we prove a viability result for multidimensional, time dependent, stochastic differential equations driven by fractional Brownian motion with Hurst parameter1/2 < H < 1, using pathwise approach. The sufficient condition is also an alternative global existence result for the fractional differential equations with restrictions on the state.Dynamical SystemsClassical Analysis and ODEs60H10, 60H20text