Identification of diffusive interfaces using a simplified fractional integrator. Part 1 : linear case

This paper presents a new approach to model heat transfer problems and more particularly diffusive interfaces. These interfaces can be modeled with fractional models, based on the use of a fractional integration operator. Succinctly, the approach presented in this paper consists in identification of the behavior of diffusive interfaces starting´ from frequency considerations derived from the analysis of a diffusion problem. Using a simplified linear fractional model, this identification is carried out by the output-error technique. A numerical simulation is presented in this paper in order to illustrate the improvements of the proposed fractional integrator in the linear case