Recherche

Recherche simple

Recherche avancée

Panier électronique

Votre panier ne contient aucune notice

Connexion à la base

Identification

(Identifiez-vous pour accéder aux fonctions de mise à jour. Utilisez votre login-password de courrier électronique)

Entrepôt OAI-PMH

Soumettre une requête

	Consulter la notice détaillée
	Version complète en ligne
	Version complète en ligne accessible uniquement depuis l'Ircam
	Ajouter la notice au panier
	Retirer la notice du panier

English version

(full translation not yet available)

Liste complète des articles

Consultation des notices

Vue détaillée

Vue Refer

Vue Labintel

Vue BibTeX

%0 Conference Proceedings
%A Mignot, Remi
%A Hélie, Thomas
%A Matignon, Denis
%T On the appearance of branch cuts for fractional systems as a mathematical limiting process based on physical grounds
%D 2008
%B Fractional Differentiation and its Applications
%C Ankara
%F Mignot08a
%K Boundary value problem
%K Generalized linear systems
%K Integral representations
%K Laplace transforms
%K Singularities
%K Heat
%K Scattering problems.
%X Contrarily to finite-dimensional systems, fractional systems have irrational transfer functions with non unique analytic continuations (from some right-half Laplace plane to a maximal domain). They involve continuous sets of singularities, namely cuts, which can be chosen arbitrarily between fixed branching points. This paper presents an academic example of the 1D heat equation and a realistic model of an acoustic pipe, both on bounded domains, which involve transfer function with a unique analytic continuation with singularities of pole type. When the length of the domain becomes infinite, these sets of singularities degenerate into uniquely defined cuts. From a mathematical point of view, both the convergence in the Hardy space of some left half-complex plane and the pointwise convergence are studied and proved.
%1 6
%2 2
%U http://articles.ircam.fr/textes/Mignot08a/