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Title: Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter
Author: Almeida, Ricardo
Martins, Natália
Issue Date: Oct-2020
Publisher: American Institute of Physics
Abstract: The fractional variational problem of Herglotz type for the case where the Lagrangian depends on generalized fractional derivatives, the free endpoints conditions, and a real parameter is studied. This type of problem generalizes several problems recently studied in the literature. Moreover, it allows us to unify conservative and non-conservative dynamical processes in the same model. The dependence of the Lagrangian with respect to the boundaries and a free parameter is effective and transforms the standard Herglotz’s variational problem into a problem of a different nature.
Peer review: yes
DOI: 10.1063/5.0021373
ISSN: 0022-2488
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