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] 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 ...
Navarro Quiles, Ana(Universitat Politècnica de València, 2018-03-01)
Desde las contribuciones de Isaac Newton, Gottfried Wilhelm Leibniz, Jacob y Johann Bernoulli en el siglo XVII hasta ahora, las ecuaciones en diferencias y las diferenciales han demostrado su capacidad para modelar ...
Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto(Elsevier, 2017)
[EN] The random variable transformation technique is a powerful method to determine the probabilistic solution for random differential equations represented by the first probability density function of the solution stochastic ...
Burgos-Simon, Clara; Caraballo, Tomás; Cortés, J.-C.; Villafuerte, Laura; Villanueva Micó, Rafael Jacinto(Springer-Verlag, 2023-04-01)
[EN] We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first construct a random generalized power series that solves the equation in the mean square sense ...
Bevia-Escrig, Vicente-José; Cortés, J.-C.; Villanueva Micó, Rafael Jacinto(John Wiley & Sons, 2023-03)
[EN] This contribution aims at studying a general class of random differential equations with Dirac-delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so-called first ...
[EN] This paper deals with the explicit determination of the first probability density function of the solution stochastic process to random autonomous first-order linear systems of difference equations under very general ...
[EN] In this work we consider a particular randomized kinetic model for reaction-deactivation of hydrogen peroxide decomposition. We apply the Random Variable Transformation technique to obtain the first probability density ...
Bevia, Vicente J.; Cortés, J.-C.; Jornet-Sanz, Marc; Villanueva Micó, Rafael Jacinto(Elsevier, 2023-05)
[EN]
In this contribution, we rigorously construct a pathwise solution to a general scalar random differential equation with state-dependent Dirac-delta impulse terms at a finite number of time instants. Furthermore, we ...
Burgos-Simon, Clara; Cortés, J.-C.; López-Navarro, Elena; Villanueva Micó, Rafael Jacinto(American Institute of Mathematical Sciences, 2021-03-02)
[EN] We provide a full stochastic description, via the first probability density function, of the solution of linear-quadratic logistic-type differential equation whose parameters involve both continuous and discrete random ...
[EN] In this paper, the first probability density function of the solution
stochastic process to random autonomous first-order linear systems of ordinary differential
equations is determinated. It is done under the general ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2014-08)
This paper deals with the computation of the first probability density function of the
solution of random homogeneous linear second-order difference equations by the Random Variable Transformation method. This approach ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2015-07)
[EN] This paper presents a full probabilistic description of the solution of random SI-type epidemiological models which are based on nonlinear differential equations. This description consists of determining: the first ...
Casabán, M. C.; Cortés, J.C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto(Elsevier, 2016)
[EN] This paper deals with the determination of the first probability density function of the solution stochastic process to the homogeneous Riccati differential equation taking advantage of both linearization and Random ...
[EN] Epilepsy is one of the most ancient diseases. Despite the efforts of scientists and doctors to improve the quality of live of epileptic patients, the disease is still a mystery in many senses. Anti-epileptic drugs are ...
[EN] This paper is devoted to study random linear control systems where the initial condition, the final target, and the elements of matrices defining the coefficients are random variables, while the control is a stochastic ...
[EN] In this work, we consider control problems represented by a linear differential equation assuming that all the coefficients are random variables and with an additive control that is a stochastic process. Specifically, ...
[EN] This paper deals with the approximate computation of the first probability density function of the solution stochastic process to second-order linear differential equations with random analytic coefficients about ...