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

Heat transfer problems obey to diffusive phenomena that can be modeled by fractional systems. In the particular case of diffusive interfaces, considerations in frequency-domain revealed the usefulness of a new varying fractional integrator. In the first paper, working around an operating point, and using a linear fractional model to identify the time-domain behavior of diffusive interfaces, we show that the introduced operator acts as a classical integrator for low frequencies and as a half order fractional integrator for higher frequencies. In this paper, we combine a neural network with the simplified varying fractional integrator and show that non linear fractional models improve the identification in time-domain of diffusive interfaces exposed to high temperature variations