Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/41996
Title: | Optimizing variational problems through weighted fractional derivatives |
Author: | Almeida, Ricardo |
Keywords: | Weighted fractional derivative Fractional calculus of variations Euler–Lagrange equation |
Issue Date: | 2024 |
Publisher: | MDPI |
Abstract: | In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with derivatives with respect to another function. Besides the fractional operators, the Lagrange function depends on extremal points. We examine the fundamental problem, providing the fractional Euler–Lagrange equation and the associated transversality conditions. Both the isoperimetric and Herglotz problems are also explored. Finally, we conclude with an analysis of the variational problem, incorporating fractional derivatives of any positive real order. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/41996 |
DOI: | 10.3390/fractalfract8050272 |
Publisher Version: | https://www.mdpi.com/2504-3110/8/5/272 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[2024] Optimizing Variational Problems through Weighted Fractional Derivatives.pdf | 294.96 kB | Adobe PDF | View/Open |
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