Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35026
Title: | Minimization problems for functionals depending on generalized proportional fractional derivatives |
Author: | Almeida, Ricardo |
Keywords: | Fractional calculus Calculus of variations Generalized proportional fractional |
Issue Date: | Jul-2022 |
Publisher: | MDPI |
Abstract: | In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also considered |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35026 |
DOI: | 10.3390/fractalfract6070356 |
Publisher Version: | https://www.mdpi.com/2504-3110/6/7/356 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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fractalfract-06-00356-v2.pdf | 295.96 kB | Adobe PDF | View/Open |
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