Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Villafuerte, L.(Asian Academic Publisher, 2012)
[EN] In this paper mixed diffusion models under decomposable space-time uncertainty are studied. Existence conditions for constructing a mean square convergent series stochastic solution process are given. Methods for ...
Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2017)
[EN] This paper extends both the deterministic fractional Riemann¿Liouville integral and the Caputo fractional
derivative to the random framework using the mean square random calculus. Characterizations and sufficient
conditions ...
Burgos-Simon, Clara; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(UP4 Institute of Sciences, S.L., 2017)
[EN] The aim of this paper is to study, in mean square sense, a class of random fractional linear differential equation where the
initial condition and the forcing term are assumed to be second-order random variables. The ...
Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2020-11)
[EN] A fractional forward Euler-like method is developed to solve initial value problems with uncertainties formulated via the Caputo fractional derivative. The analysis is conducted by using the so-called random mean ...
This paper deals with the construction of numerical methods of random initial value problems. Random linear multistep methods are presented and sufficient conditions for their mean square convergence are established. Main ...
Burgos-Simon, Clara; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2019)
[EN] The aim of this paper is to study a generalization of fractional Airy differential equations whose input data (coefficient and initial conditions) are random variables. Under appropriate hypotheses assumed upon the ...
Jódar Sánchez, Lucas Antonio; Cortés, J.-C.; Villafuerte, L.(Elsevier, 2012-06)
This paper deals with the construction of reliable numerical solutions of mixed problems for hyperbolic second order partial differential models with random information in the variable coefficients of the partial differential ...
Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Roselló Ferragud, María Dolores; Villafuerte, L.(Elsevier, 2012-11-01)
This paper deals with the construction of mean square real-valued solutions to both initial and boundary value problems of linear differential equations whose coefficients are assumed to be stochastic processes and, initial ...
Burgos-Simon, Clara; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2022-04-01)
[EN] This paper deals with random fractional differential equations of the form, (D0+X)-D-C-X-alpha(t) + A(X) over dot (t) + BX(t) = 0 , t > 0 , with initial conditions, X(0) = C-0 and (X) over dot(0) = C-1 , where ...