17 citations · 19 across the 10 of their papers we have counts for
5 papers · 1 filter
Large time behaviour for the heat equation on moments and decay rates
Luciano Abadias, Jorge González-Camus, Pedro J. Miana +1
The paper is devoted to understand the large time behaviour and decay of the solution of the discrete heat equation in the one dimensional mesh on spaces, and its ana…
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…
Schauder estimates for discrete fractional integrals
Luciano Abadias, Marta De León-Contreras, José L. Torrea
In this note we focus on the discrete fractional integrals as a natural continuation of our previous work about nonlocal fractional derivatives, discrete and continuous. We define…
On well-posedness of vector-valued fractional differential-difference equations
Luciano Abadias, Carlos Lizama, Pedro J. Miana +1
We develop an operator-theoretical method for the analysis on well posedness of partial differential equations that can be modeled in the form \begin{equation*} \left\{ \begin{arra…