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Title: Fractional Herglotz variational problem of variable order
Author: Tavares, Dina
Almeida, Ricardo
Torres, Delfim F.M.
Keywords: Fractional calculus
Variable order
Herglotz variational problems
Issue Date: 2018
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper.
Peer review: yes
DOI: 10.3934/dcdss.2018009
ISSN: 1937-1632
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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