Noudjoud , Hamdi2026-09-292026-09-292025http://dspace.univ-khenchela.dz:4000/handle/123456789/11553We study an exact controllability problem for a system governed by the heat equation with Neumann boundary control and boundary noise. We reduce the control problem to a moment problem for which we establish sufficient conditions for its resolution. Keywords: heat equation; exact controllability; Neumann boundary control; boundary white noise; moment problem MSC: 93E03; 35K20; 60H15enArticle