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Title: A generalized fractional calculus of variations
Author: Odzijewicz, T.
Malinowska, A.B.
Torres, D.F.M.
Keywords: Damped harmonic oscillator
Euler-Lagrange equations
Fractional variational analysis
Generalized fractional operators
Natural boundary conditions
Noether's theorem
Issue Date: 2013
Publisher: Polish Academy of Sciences
Abstract: We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.
Peer review: yes
ISSN: 0324-8569
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Appears in Collections:CIDMA - Artigos
DMat - Artigos

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