39 citations · 40 across the 4 of their papers we have counts for
4 papers
From fractal R-L ladder networks to the diffusion equation
Jacky Cresson, Anna Szafranska
We give a self-contained presentation of fractal R-L ladder networks as well as a detailed computation of the admittance of these systems. We also discuss the conditions under whic…
Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks
Jacky Cresson, Anna Szafranska
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…
Comments on various extensions of the Riemann-Liouville fractional derivatives : about the Leibniz and chain rule properties
Jacky Cresson, Anna Szafrańska
Starting from the Riemann-Liouville derivative, many authors have built their own notion of fractional derivative in order to avoid some classical difficulties like a non zero deri…
Discrete and continuous fractional persistence problems - the positivity property and applications
Jacky Cresson, Anna Szafrańska
In this article, we study the continuous and discrete fractional persistence problem which looks for the persistence of properties of a given classical () differential equatio…