Physical processes which can be represented by symbolic differential equations involving random functions are cited and studied. The solutions of these equations are obtained using Ramakrishnan's recent phenomenological interpretation of integrals of random functions
AbstractIn this article, a Differential Transform Method (DTM) based on the mean fourth calculus is ...
AbstractGiven a dynamical system (Ω, F, P, θ(t)) and a random differential equation ẋ = ƒ(θtω, x) in...
AbstractThis paper deals with the construction of random power series solutions of linear differenti...
Physical processes which can be represented by symbolic differential equations involving random func...
This book is a holistic and self-contained treatment of the analysis and numerics of random differen...
This book is intended to make recent results on the derivation of higher order numerical schemes for...
We consider a nonlinear random integral equation and build the associated equation with variational...
Differential equations subject to random impulses are studied. Randomness is introduced both through...
In this article, we first present the construction and basic properties of the Bochner integral for ...
Given a random system, a Liouville’s equation is an exact partial differential equation that descri...
International audienceThe usual way that mathematicians work with randomness is by a rigorous for-mu...
In this paper we establish the existence and uniqueness of a solution for different types of stochas...
The objective of this paper is to complete certain issues from our recent contribution (Calatayud, J...
AbstractIn this paper, models connected with hyperbolic partial differential equations are analysed....
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence...
AbstractIn this article, a Differential Transform Method (DTM) based on the mean fourth calculus is ...
AbstractGiven a dynamical system (Ω, F, P, θ(t)) and a random differential equation ẋ = ƒ(θtω, x) in...
AbstractThis paper deals with the construction of random power series solutions of linear differenti...
Physical processes which can be represented by symbolic differential equations involving random func...
This book is a holistic and self-contained treatment of the analysis and numerics of random differen...
This book is intended to make recent results on the derivation of higher order numerical schemes for...
We consider a nonlinear random integral equation and build the associated equation with variational...
Differential equations subject to random impulses are studied. Randomness is introduced both through...
In this article, we first present the construction and basic properties of the Bochner integral for ...
Given a random system, a Liouville’s equation is an exact partial differential equation that descri...
International audienceThe usual way that mathematicians work with randomness is by a rigorous for-mu...
In this paper we establish the existence and uniqueness of a solution for different types of stochas...
The objective of this paper is to complete certain issues from our recent contribution (Calatayud, J...
AbstractIn this paper, models connected with hyperbolic partial differential equations are analysed....
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence...
AbstractIn this article, a Differential Transform Method (DTM) based on the mean fourth calculus is ...
AbstractGiven a dynamical system (Ω, F, P, θ(t)) and a random differential equation ẋ = ƒ(θtω, x) in...
AbstractThis paper deals with the construction of random power series solutions of linear differenti...