3 papers
math.AP2020
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…
math.AP2020
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…
math.AP2018
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…