[EN] The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. The mathematical formulation of this deterministic nonlinear differential equation depends on reaction ...
[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 ...
Calatayud, Julia; Cortés, J.-C.(Editura Academiei Romane, 2021)
[EN] In this paper we study the randomized heat equation with homogeneous boundary conditions. The diffusion coefficient is assumed to be a random
variable and the initial condition is treated as a stochastic process. The ...
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 ...
[EN] This paper is devoted to construct approximations of the probability density function of the non-autonomous first-order homogeneous linear random diff erential equation, where the initial condition and the diff usion ...
Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores(UP4 Institute of Sciences, S.L., 2017)
[EN] In this paper the randomized Cauchy-Euler differential equation is studied. With this aim, from a statistical point of
view, both the first and second probability density functions of the solution stochastic process ...
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 ...
[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 ...