22 citations · 43 across the 11 of their papers we have counts for
12 papers
Recovering discrete delayed fractional equations from trajectories
J. Alberto Conejero, Òscar Garibo-i-Orts, Carlos Lizama
We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic…
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…
Convergence of solutions of discrete semi-linear space-time fractional evolution equations
Harbir Antil, Carlos Lizama, Rodrigo Ponce +1
Let be the realization of the fractional Laplace operator on the space of continuous functions , and let denote the discrete fractional Lapla…
Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation
Carlos Lizama, M. Warma, Sebastian Zamorano
The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace op…
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…
Sharp extensions and algebraic properties for solution families of vector-valued differential equations
Luciano Abadias, Carlos Lizama, Pedro J. Miana
In this paper we show the unexpected property that extension from local to global without loss of regularity holds for the solutions of a wide class of vector-valued differential e…