2 citations · 4 across the 7 of their papers we have counts for
7 papers
Superdiffusive fractional dynamics: Unveiling regularity results in systems with general positive self-adjoint operators
Edgardo Alvarez, Ciprian G. Gal, Valentin Keyantuo +1
We investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, \\ u(0)=u_{0},\,\,\,u^{\prime }(…
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…
Well-posedness results for a class of semi-linear super-diffusive equations
Edgardo Alvarez, Ciprian Gal, Valentin Keyantuo +1
In this paper we investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, u(0)=u_{0},\,\,\,u…
Quantum Brownian motion
Fabian H. Gaioli, Edgardo T. Garcia Alvarez, Javier Guevara
We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue probl…
Quantum Brownian motion. II
Fabian H. Gaioli, Edgardo T. Garcia Alvarez, Diego G. Arbo
This paper is devoted to generalize some previous results presented in Gaioli et al., Int. J. Theor. Phys. 36, 2167 (1997). We evaluate the autocorrelation function of the stochast…