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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.
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https://hal.inria.fr/hal-00724706
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, August 22, 2012 - 1:37:07 PM
Last modification on : Thursday, May 2, 2019 - 2:14:36 PM

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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, Hindawi Publishing Corporation, 2012, 2012, 24 pp. ⟨10.1155/2012/871912⟩. ⟨hal-00724706⟩

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