2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120577In this paper the multi-dimensional random walk models governed by distributed fractional order differential equations and multi-term fractional order differential equations are constructed. The scaling limits of these random walks to a diffusion process in the sense of distributions is proved.Published at http://dx.doi.org/10.1214/074921706000000798 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)Classical Analysis and ODEs60G50 (Primary) 26A33, 35S05 (Secondary)text