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Title: A discrete time method to the first variation of fractional order variational functionals
Author: Pooseh, S.
Almeida, R.
Torres, D.F.M.
Keywords: Discrete time
Fractional calculus
Fractional calculus of variations
Numerical approximation
Issue Date: 2013
Publisher: Springer
Abstract: The fact that the first variation of a variational functional must vanish along an extremizer is the base of most effective solution schemes to solve problems of the calculus of variations. We generalize the method to variational problems involving fractional order derivatives. First order splines are used as variations, for which fractional derivatives are known. The Grünwald-Letnikov definition of fractional derivative is used, because of its intrinsic discrete nature that leads to straightforward approximations.
Peer review: yes
DOI: 10.2478/s11534-013-0250-0
ISSN: 1895-1082
Appears in Collections:CIDMA - Artigos

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