Author:
Pooseh Shakoor,Almeida Ricardo,Torres Delfim
Abstract
AbstractThe 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.
Subject
General Physics and Astronomy
Cited by
14 articles.
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