2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161085The fundamental solution of the fractional diffusion equation of distributed order in time (usually adopted for modelling sub-diffusion processes) is obtained based on its Mellin-Barnes integral representation. Such solution is proved to be related via a Laplace-type integral to the Fox-Wright functions. A series expansion is also provided in order to point out the distribution of time-scales related to the distribution of the fractional orders. The results of the time fractional diffusion equation of a single order are also recalled and then re-obtained from the general theory.18 pages. Conference "Special Functions: Asymptotic Analysis and Computation", Santander (Spain) on 4-6 July, 2005Mathematical PhysicsStatistical MechanicsComplex Variables26A33, 33E12, 33C40, 33C60, 44A10 45K05text