14 citations · 15 across the 4 of their papers we have counts for
4 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 initial value problem for ordinary differential equations with infinitely many derivatives
Przemyslaw Gorka, Humberto Prado, Enrique G. Reyes
We study existence, uniqueness and regularity of solutions for ordinary differential equations with infinitely many derivatives such as (linearized versions of) nonlocal field equa…