RT journal article
T1 The semidiscrete damped wave equation with a discrete fractional Laplacian
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
K1 Discrete fractional Laplacian
K1 semidiscrete damped wave equation
K1 Bessel functions
K1 almost periodic functions
AB In this paper we completely solve the open problem of finding the fundamental solution of the semidiscrete fractional-spatial damped wave equation. We combine operator theory and Laplace transform methods with properties of Bessel functions to show an explicit representation of the solution when initial conditions are given. Our findings extend known results from the literature and also provide new insights into the qualitative behavior of the solutions for the studied model. As an example, we show the existence of almost periodic solutions as well as their profile in the homogeneous case.
PB American Mathematical Society
SN 1088-6826
YR 2023
FD 2023
LK http://hdl.handle.net/10498/35321
UL http://hdl.handle.net/10498/35321
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026