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Journal Articles Abstract and Applied Analysis Year : 2012

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

Tatiana Odzijewicz
  • Function : Author
Agnieszka B. Malinowska
  • Function : Author

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.

Dates and versions

hal-00724706 , version 1 (22-08-2012)

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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, 2012, 2012, ID 871912, 24 pp. ⟨10.1155/2012/871912⟩. ⟨hal-00724706⟩
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