  The paper deals with a full annealing process, for example for a metal alloy
perturbed by some fractional noise caused by conditions in furnace such as
initial temperature, initial structure of material itsel. The energy of the
heating matter system depending on its states at each time, we consider some
steady state at full annealing range by introducing a fractional model for it.
And we determine states of the system related to this steady state.
