Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18543
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 |
URI: | http://hdl.handle.net/10773/18543 |
DOI: | 10.3934/dcdss.2018009 |
ISSN: | 1937-1632 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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14660.pdf | Documento principal | 357.84 kB | Adobe PDF |
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