Fractional Calculus of Variations of Several Independent Variables

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.
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European Physical Journal - Special Topics, EDP Sciences, 2013, 222 (8), pp.1813-1826. 〈10.1140/epjst/e2013-01966-0〉
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Soumis le : mardi 23 septembre 2014 - 14:21:11
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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

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