7 papers
On first and second order linear Stieltjes differential equations
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo
This work deals with the obtaining of solutions of first and second order Stieltjes differential equations. We define the notions of Stieltjes derivative on the whole domain of the…
A Digital Twin of a Compartmental Epidemiological Model based on a Stieltjes Differential Equation
Iván Area, F. J. Fernández, Juan J. Nieto +1
We introduce a digital twin of the classical compartmental SIR (Susceptible, Infected, Recovered) epidemic model and study the interrelation between the digital twin and the system…
Non-equilibrium Coupling of a Quartz Resonator to Ions for Penning-Trap Fast Resonant Detection
Joaquín Berrocal, Steffen Lohse, Francisco Domínguez +5
The coherent coupling between a quartz electro-mechanical resonator at room temperature and trapped ions in a 7-tesla Penning trap has been demonstrated for the first time. The sig…
Approximation of Stieltjes ordinary differential equations
Francisco J. Fernández, F. Adrián F. Tojo
This work is devoted to the obtaining of a new numerical scheme based in quadrature formulas for the Lebesgue-Stieltjes integral for the approximation of Stieltjes ordinary differe…
Stieltjes Bochner spaces and applications to the study of parabolic equations
Francisco J. Fernández, F. Adrián F. Tojo
This work is devoted to the mathematical analysis of Stieltjes Bochner spaces and their applications to the resolution of a parabolic equation with Stieltjes time derivative. This…
An optimization problem related to water artificial recirculation for controlling eutrophication
Francisco J. Fernández, Aurea Martínez, Lino J. Alzarez-Vázquez
In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent e…