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Title: Fractional variational calculus with classical and combined Caputo derivatives
Author: Odzijewicz, T.
Malinowska, A. B.
Torres, D. F. M.
Keywords: Euler-Lagrange equations
Fractional derivatives
Fractional variational analysis
Isoperimetric problems
Natural boundary conditions
Variational analysis
Differentiation (calculus)
Variational techniques
Issue Date: 2012
Publisher: Elsevier
Abstract: We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. EulerLagrange equations to the basic and isoperimetric problems as well as transversality conditions are proved. © 2011 Elsevier Ltd. All rights reserved.
Peer review: yes
DOI: 10.1016/
ISSN: 0362-546X
Appears in Collections:CIDMA - Artigos

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