This paper introduces new classes of fractional and multifractional random fields arising from elliptic, parabolic and hyperbolic equations with random innovations derived from fractional Brownian motion. The case of stationary random initial conditions is also considered for parabolic and hyperbolic equations
Click on the DOI link to access the article (may not be free).This article introduces three types of...
The main questions concerning random operator equations are essentially the same as those of determi...
We study random-field solutions of a class of stochastic partial differential equations, involving o...
This paper introduces new classes of fractional and multifractional random fields arising from ellip...
International audienceWe propose discrete random-field models that are based on random partitions of...
We consider a class of Gaussian isotropic random fields related to multi-parameter fractional Browni...
We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...
We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on ...
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gauss...
We discuss a family of random fields indexed by a parameter s ∈ Rwhich we call the fractional Gaussi...
The paper studies the fundamental solutions to fractional in time hyperbolic diffusion equation or t...
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the f...
Advances in data collection and computation tools popularize localized modeling on temporal or spati...
A fractional version of the heat equation, involving fractional powers of the negative Laplacian ope...
[EN] The aim of this paper is to study, in mean square sense, a class of random fractional linear di...
Click on the DOI link to access the article (may not be free).This article introduces three types of...
The main questions concerning random operator equations are essentially the same as those of determi...
We study random-field solutions of a class of stochastic partial differential equations, involving o...
This paper introduces new classes of fractional and multifractional random fields arising from ellip...
International audienceWe propose discrete random-field models that are based on random partitions of...
We consider a class of Gaussian isotropic random fields related to multi-parameter fractional Browni...
We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...
We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on ...
We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gauss...
We discuss a family of random fields indexed by a parameter s ∈ Rwhich we call the fractional Gaussi...
The paper studies the fundamental solutions to fractional in time hyperbolic diffusion equation or t...
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the f...
Advances in data collection and computation tools popularize localized modeling on temporal or spati...
A fractional version of the heat equation, involving fractional powers of the negative Laplacian ope...
[EN] The aim of this paper is to study, in mean square sense, a class of random fractional linear di...
Click on the DOI link to access the article (may not be free).This article introduces three types of...
The main questions concerning random operator equations are essentially the same as those of determi...
We study random-field solutions of a class of stochastic partial differential equations, involving o...
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