15 citations · 48 across the 6 of their papers we have counts for
6 papers
Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings
Loïc Bourdin, Jacky Cresson, Isabelle Greff +1
This paper is a summary of the theory of discrete embeddings introduced in [5]. A discrete embedding is an algebraic procedure associating a numerical scheme to a given ordinary di…
Lagrangian for the Convection-Diffusion Equation
Jacky Cresson, Isabelle Greff, Pierre Inizan
Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection-diffusion equation in the special case of consta…
Variational integrator for fractional Euler-Lagrange equations
Loïc Bourdin, Jacky Cresson, Isabelle Greff +1
We extend the notion of variational integrator for classical Euler-Lagrange equations to the fractional ones. As in the classical case, we prove that the variational integrator all…
Irreversibility, least action principle and causality
Jacky Cresson, Pierre Inizan
The least action principle, through its variational formulation, possesses a finalist aspect. It explicitly appears in the fractional calculus framework, where Euler-Lagrange equat…
Fractional embeddings and stochastic time
Jacky Cresson, Pierre Inizan
As a model problem for the study of chaotic Hamiltonian systems, we look for the effects of a long-tail distribution of recurrence times on a fixed Hamiltonian dynamics. We follow…
Homogeneous fractional embeddings
Pierre Inizan
Fractional equations appear in the description of the dynamics of various physical systems. For Lagrangian systems, the embedding theory developped by Cresson ["Fractional embeddin…