A theorem on the existence of symmetries of fractional PDEs

Rosario Antonio Leo; Gabriele Sicuro; Piergiulio Tempesta

doi:10.1016/j.crma.2013.11.007

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

Rosario Antonio Leo ¹ ; Gabriele Sicuro ² ; Piergiulio Tempesta ^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

Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 219-222.

Résumé
Abstract

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 : 2013-09-24
Accepté le : 2013-11-12
Publié le : 2014-01-20

DOI : 10.1016/j.crma.2013.11.007

Affiliations des auteurs :

Rosario Antonio Leo ¹ ; Gabriele Sicuro ² ; Piergiulio Tempesta ^{3, 4}

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     author = {Rosario Antonio Leo and Gabriele Sicuro and Piergiulio Tempesta},
     title = {A theorem on the existence of symmetries of fractional {PDEs}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {219--222},
     publisher = {Elsevier},
     volume = {352},
     number = {3},
     year = {2014},
     doi = {10.1016/j.crma.2013.11.007},
     language = {en},
}

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Rosario Antonio Leo; Gabriele Sicuro; Piergiulio Tempesta. A theorem on the existence of symmetries of fractional PDEs. Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 219-222. doi : 10.1016/j.crma.2013.11.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.007/

Bibliographie
Cité par

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