3 citations · 3 across the 7 of their papers we have counts for
7 papers
Learning from user's behaviour of some well-known congested traffic networks
Isolda Cardoso, Lucas Venturato, Jorgelina Walpen
The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simu…
On a Space Fractional Stefan problem of Dirichlet type with Caputo flux
S. D. Roscani, K. Ryszewska, L. D. Venturato
We study a space-fractional Stefan problem with the Dirichlet boundary conditions. It is a model that describes superdiffusive phenomena. Our main result is the existence of the un…
Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
Lucas D. Venturato, Mariela B. Cirelli, Domingo A. Tarzia
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by consid…
A one-phase space -- fractional Stefan problem with no liquid initial domain
Sabrina Roscani, Katarzyna Ryszewska, Lucas Venturato
Taking into account the recent works \cite{RoTaVe:2020} and \cite{Rys:2020}, we consider a phase-change problem for a one dimensional material with a non-local flux, expressed in t…
The similarity method and explicit solutions for the fractional space one-phase Stefan problems
S. D. Roscani, D. A. Tarzia, L. Venturato
In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffer function…
About Convergence and Order of Convergence of some Fractional Derivatives
Sabrina Roscani, Lucas Venturato
In this paper we establish some convergence results for Riemann-Liouville, Caputo, and Caputo-Fabrizio fractional operators when the order of differentiation approaches one. We con…
Global Solution to a Nonlinear Fractional Differential Equation for the Caputo-Fabrizio Derivative
Sabrina Roscani, Domingo Tarzia, Lucas Venturato
This paper deals with the fractional Caputo--Fabrizio derivative and some basic properties related. A computation of this fractional derivative to power functions is given in terms…