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Comptes Rendus Mathématique
Volume 352, n° 3
pages 219-222 (mars 2014)
Doi : 10.1016/j.crma.2013.11.007
Received : 24 September 2013 ;  accepted : 12 November 2013
A theorem on the existence of symmetries of fractional PDEs
Un théorème sur l'existence de symétries pour les équations aux derivées partielles fractionnaires
 

Rosario Antonio Leo a , Gabriele Sicuro b , Piergiulio Tempesta c, d
a Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Via per Arnesano, 73100 Lecce, Italy 
b Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Italy 
c Departamento de Fisica Teorica II, Métodos Matemáticos de la Física, Universidad Complutense de Madrid, Ciudad Universitaria, 28040, Madrid, Spain 
d Instituto de Ciencias Matemáticas, C/ Nicolás Cabrera, No 13-15, 28049 Madrid, Spain 

Abstract

We propose a theorem that extends the classical Lie approach to the case of fractional partial differential equations (fPDEs) of the Riemann–Liouville type in ( ) dimensions.

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Résumé

Nous proposons un théorème qui generalise la méthode classique de Lie à l'étude d'équations aux derivées partielles fractionnaires de type Riemann–Liouville en ( ) dimensions.

The full text of this article is available in PDF format.


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