Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

Abstract : We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, as well as natural boundary conditions for free boundary value problems. The fractional action-like variational approach (FALVA) is extended and some applications to Physics discussed.
Type de document :
Article dans une revue
Abstract and Applied Analysis, Hindawi Publishing Corporation, 2012, 2012, 24 pp. 〈10.1155/2012/871912〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00724706
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 13:37:07
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

Identifiants

Collections

Citation

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics. Abstract and Applied Analysis, Hindawi Publishing Corporation, 2012, 2012, 24 pp. 〈10.1155/2012/871912〉. 〈hal-00724706〉

Partager

Métriques

Consultations de la notice

47