17 citations · 18 across the 7 of their papers we have counts for
11 papers
Discrete Hölder spaces, their characterization via semigroups associated to the discrete Laplacian and kernels estimates
Luciano Abadias, Marta De León-Contreras
In this paper we characterize the discrete Hölder spaces by means of the heat and Poisson semigroups associated to the discrete Laplacian. These characterizations allow us to get r…
Subordination principle, Wright functions and large-time behaviour for the discrete in time fractional diffusion equation
Luciano Abadias, Edgardo Alvarez, Stiven Diaz
The main goal in this paper is to study asymptotic behaviour in for the solutions of the fractional version of the discrete in time -dimensional diffusion eq…
Asymptotic behavior for the discrete in time heat equation
Edgardo Alvarez, Luciano Abadias
In this paper we investigate the asymptotic behavior and decay of the solution of the discrete in time -dimensional heat equation. We give a convergence rate with which the solu…
Fractional-order susceptible-infected model: definition and applications to the study of COVID-19 main protease
Luciano Abadias, Gissell Estrada-Rodriguez, Ernesto Estrada
We propose a model for the transmission of perturbations across the amino acids of a protein represented as an interaction network. The dynamics consists of a Susceptible-Infected…
Functional models up to similarity and -contractions
Luciano Abadias, Glenier Bello, Dmitry Yakubovich
We study the generalization of -isometries and -contractions (for positive integers ) to what we call -isometries and -contractions for positive real numbers . We…
Poisson equation and discrete one-sided Hilbert transform for -bounded operators
Luciano Abadias, José E. Galé, Carlos Lizama
We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Cesàro bounded operators of fractional order. The results obt…