Fractional Calculus of Variations of Several Independent Variables - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles The European Physical Journal. Special Topics Year : 2013

Fractional Calculus of Variations of Several Independent Variables

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

Abstract

We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on generalized partial integrals and derivatives. A generalized fractional Noether's theorem, a formulation of Dirichlet's principle and an uniqueness result are given.

Dates and versions

hal-01067443 , version 1 (23-09-2014)

Identifiers

Cite

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. Fractional Calculus of Variations of Several Independent Variables. The European Physical Journal. Special Topics, 2013, 222 (8), pp.1813-1826. ⟨10.1140/epjst/e2013-01966-0⟩. ⟨hal-01067443⟩
16 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More