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Title: A survey on fractional variational calculus
Author: Almeida, Ricardo
Torres, Delfim F. M.
Issue Date: 2019
Publisher: De Gruyter
Abstract: Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect and direct methods. In particular, we provide necessary optimality conditions of Euler-Lagrange type for the fundamental, higher-order, and isoperimetric problems, and we compute approximate solutions based on truncated Grünwald-Letnikov approximations of the Caputo derivatives.
Peer review: yes
DOI: 10.1515/9783110571622-014
ISBN: 978-3-11-057166-0
Publisher Version:
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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