On Fractional Annealing Process

Abstract

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.