Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2011-11)
The aim of this paper is twofold. First, we deal with the extension to the random framework of the piecewise Fröbenius method to solve Airy differential equations. This extension is based on mean square stochastic calculus. ...
Cortés, J.-C.; El-Labany, S.K.; Navarro-Quiles, A.; Selim, Mustafa M.; Slama, H.(John Wiley & Sons, 2020-09-30)
[EN] This paper provides a comprehensive probabilistic analysis of a full randomization of approximate SIR-type epidemiological models based on discrete-time Markov chain formulation. The randomization is performed by ...
Casabán, M.C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto(Elsevier, 2016)
[EN] This paper provides a complete probabilistic description of SIS-type epidemiological models where all the input parameters (contagion rate, recovery rate and initial conditions) are assumed to be random variables. By ...
[EN] This paper provides a full probabilistic solution of the randomized fractional linear nonhomogeneous differential equation with a random initial condition via the computation of the first probability density function ...
[EN] In this paper a new version of the chain rule for calculat- ing the mean square derivative of a second-order stochastic process is proven. This random operational calculus rule is applied to construct a rigorous mean ...
Burgos-Simon, Clara; Cortés, J.-C.; Shaikhet, Leonid; Villanueva Micó, Rafael Jacinto(Elsevier, 2018)
[EN] First, we propose a deterministic age-structured epidemiological model to study the diffusion of e-commerce in Spain. Afterwards, we determine the parameters (death, birth and growth rates) of the underlying demographic ...
[EN] In this paper a randomized version of the Beverton-Holt type discrete model is proposed. Its solution stochastic process and the random steady state are determined. Its first probability density function and second ...
Cortés, J.-C.; Sánchez, Francisco; Santonja Gómez, Francisco José; Villanueva Micó, Rafael Jacinto(Hindawi Publishing Corporation, 2015)
[EN] The bomb attacks in Madrid three days before the general elections of March 14, 2004, and their possible influence on the victory of PSOE (Spanish Workers Socialist Party), defeating PP (Popular Party), have been a ...
Cortés, J.-C.; Santonja, F.; Tarazona Tornero, Ana Celia; Villanueva Micó, Rafael Jacinto; Villanueva Oller, Francisco Javier(Elsevier, 2015-08-01)
In this paper, a computational technique to deal with uncertainty in dynamic continuous models in Social Sciences is presented.Considering data from surveys,the method consists of determining the probability distribution ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio(Elsevier, 2015-05)
[EN] This paper deals with the explicit solution of random mixed parabolic equations in unbounded domains by using the random Laplace transform to second order stochastic processes. The mean square random Laplace operational ...
Lombana, Iván Camilo(Universitat Politècnica de València, 2011-11-21)
A compartmental model based on a nonlinear differential equation system is developed to study the diffusion and future trends in short-term of E-commerce in Spain with available official data from INE. Stability and ...
Alegre Sanahuja, Juan; Camacho Vidal, Francisco Javier; Cortés López, Juan Carlos; Santonja, Francisco-José; Villanueva Micó, Rafael Jacinto(Hindawi Publishing Corporation, 2014-10-28)
[EN] In the last years the number of malware Apps that the users download to their devices has risen. In this paper, we propose an agentbased
model to quantify the Android malware infection evolution, modeling the behavior ...
Cortés, J.-C.; García Moreno, E.; Navarro-Quiles, A.(2017-04)
[EN] This paper deals with the randomization of the classical malthusian model using a markovian approach. We show that the solution stochastic process, usually referred to as birth process, corresponds to the shift negative ...
[EN] This work concentrates on a result gives by Giuseppe Peano which allows the obtention of the classical theorems about differential calculus by Lagrange and Cauchy. We shall also apply Peano's result in order to obtain ...
[EN] This article shows how infinite radical representations of all positive integers are obtained by means of recurrent sequences generated from algebraic identities.
Calatayud Gregori, Julia; Cortés López, Juan Carlos; Jornet Sanz, Marc; Villanueva Micó, Rafael Jacinto(Editorial Universitat Politècnica de València, 2019-10-01)
This book is aimed at covering the bases on random variables, random vectors and stochastic processes, necessary to be able to address the study of stochastic models based mainly on random and stochastic differential ...
Santonja, F.-J.; Morales, A.; Villanueva Micó, Rafael Jacinto; Cortés López, Juan Carlos(Elsevier, 2012-02)
Excess weight is fast becoming a serious health concern in the developed and developing world. The concern of the public health sector has lead to the development of public health campaigns, focusing on two-fold goals: to ...
[EN] This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random variable and the diffusion coefficient ...
[EN] In this paper, we deal with the randomized generalized diffusion equation with delay:u(t)(t, x) = a(2)u(xx)(t, x) + b(2)u(xx)(t - tau, x),t > tau,0 <= x <= l;u(t,0)=u(t,l)=0,t >= 0;u(t,x)=phi(t,x),0 <= t <= tau,0 <= ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; García Mora, María Belén; Jódar Sánchez, Lucas Antonio(Hindawi Publishing Corporation, 2013)
[EN] This paper deals with the analytic-numerical solution of random heat problems for the temperature distribution in a semi-infinite bar with different boundary value conditions. We apply a random Fourier sine and cosine ...