4 citations · 7 across the 9 of their papers we have counts for
12 papers
Compactness criteria for Stieltjes function spaces and applications
Francisco J. Fernández, F. Adrián F. Tojo, Carlos Villanueva
In this work we study some topological aspects of function spaces arising in Stieltjes differential calculus. Chief among them are compactness results related to the Ascoli-Arzelà…
Consequences of the product rule in Stieltjes differentiability
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo
This work revolves around the study of differentiability in the Stieltjes sense of a product of functions. A formula for the first order derivative has been obtained in the past, w…
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…
Displacements
Ignacio Márquez Albés, F. Adrián F. Tojo
In this work we establish a theory of Calculus based on the new concept of displacement. We develop all the concepts and results necessary to go from the definition to differential…
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…