no. 3
Partial differential equations/Mathematical physics
A theorem on the existence of symmetries of fractional PDEs
[Un théorème sur l'existence de symétries pour les équations aux derivées partielles fractionnaires]

Présenté par : Pierre-Louis Lions

Leo, Rosario Antonio1 ; Sicuro, Gabriele2 ; Tempesta, Piergiulio3, 4
1 Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Via per Arnesano, 73100 Lecce, Italy
2 Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Italy
3 Departamento de Fisica Teorica II, Métodos Matemáticos de la Física, Universidad Complutense de Madrid, Ciudad Universitaria, 28040, Madrid, Spain
4 Instituto de Ciencias Matemáticas, C/ Nicolás Cabrera, No 13-15, 28049 Madrid, Spain
Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 219-222.

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 (1+1) dimensions.

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 (1+1) dimensions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.11.007
Leo, Rosario Antonio 1 ; Sicuro, Gabriele 2 ; Tempesta, Piergiulio 3, 4

1 Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Via per Arnesano, 73100 Lecce, Italy
2 Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Italy
3 Departamento de Fisica Teorica II, Métodos Matemáticos de la Física, Universidad Complutense de Madrid, Ciudad Universitaria, 28040, Madrid, Spain
4 Instituto de Ciencias Matemáticas, C/ Nicolás Cabrera, No 13-15, 28049 Madrid, Spain 
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     title = {A theorem on the existence of symmetries of fractional {PDEs}},
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Leo, Rosario Antonio; Sicuro, Gabriele; Tempesta, Piergiulio. A theorem on the existence of symmetries of fractional PDEs. Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 219-222. doi : 10.1016/j.crma.2013.11.007. http://www.numdam.org/articles/10.1016/j.crma.2013.11.007/

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