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Title: Variational calculus with conformable fractional derivatives
Author: Lazo, Matheus J.
Torres, Delfim F. M.
Keywords: Conformable fractional derivative
Fractional calculus of variations
Fractional optimal control
Invariant variational conditions
Noether’s theorem
Issue Date: Apr-2017
Publisher: IEEE
Abstract: Invariant conditions for conformable fractional problems of the calculus of variations under the presence of external forces in the dynamics are studied. Depending on the type of transformations considered, different necessary conditions of invariance are obtained. As particular cases, we prove fractional versions of Noether U+02BC s symmetry theorem. Invariant conditions for fractional optimal control problems, using the Hamiltonian formalism, are also investigated. As an example of potential application in Physics, we show that with conformable derivatives it is possible to formulate an Action Principle for particles under frictional forces that is far simpler than the one obtained with classical fractional derivatives.
Peer review: yes
DOI: 10.1109/JAS.2016.7510160
ISSN: 2329-9266
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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