Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks

2022/12/20 by Cresson, Jacky, Szafranska, Anna
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2212.10118

Abstract

We give a self-contained proof of the connection existing between diffusion equations with spatially dependent coefficients and fractal Cauer-type networks initiated by J. Sabatier in 2020 and discussed in more details in [J. Sabatier and al., Fractional behaviours modelling, Springer, 2022].

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