40 citations · 57 across the 8 of their papers we have counts for
8 papers
The fractional in time Schrödinger equation with a Hartree perturbation
Humberto Prado, José Ramírez
The aim of this work is to show existence, uniqueness and regularity properties of nonlinear fractional Schrödinger equation with fractional time derivative of order a…
The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models
Alan Chávez, Humberto Prado, Enríque G. Reyes
We define rigorously operators of the form , in which is an analytic function on a simply connected domain. Our formalism is based on the Borel transform on enti…
A Laplace transform approach to linear equations with infinitely many derivatives and zeta-nonlocal field equations
Alan Chavez, Humberto Prado, Enrique G. Reyes
We study existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives. We develop a natural framework based on Laplace transform as a corre…
The time fractional Schrödinger equation on Hilbert space
Przemysław Górka, Humberto Prado, Juan Trujillo
We study the linear fractional Schrödinger equation on a Hilbert space, with a fractional time derivative of order and a self-adjoint generator Using the spectral the…
Nonlinear pseudo-differential equations defined by elliptic symbols on ${\lp}$ and the fractional Laplacian
Mauricio Bravo, Humberto Prado, Enrique G. Reyes
We develop an -functional calculus appropriated for interpreting "non-classical symbols" of the form , and for proving existence in , s…
On linear differential equations with infinitely many derivatives
Marcus Carlsson, Humberto Prado, Enrique G. Reyes
Differential equations with infinitely many derivatives, sometimes also referred to as ``nonlocal'' differential equations, appear frequently in branches of modern physics such as…