Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35028
Title: | Variational problems of variable fractional order involving arbitrary kernels |
Author: | Almeida, Ricardo |
Keywords: | Fractional calculus Calculus of variations Variable-order fractional derivative |
Issue Date: | 2022 |
Publisher: | AIMS Press |
Abstract: | The aim of this work is to study several problems of the calculus of variations, where the dynamics of the state function is given by a generalized fractional derivative. This derivative combines two well-known concepts: fractional derivative with respect to another function and fractional derivative of variable order. We present the Euler–Lagrange equation, which is a necessary condition that every optimal solution of the problem must satisfy. Other problems are also studied: with integral and holonomic constraints, with higher order derivatives, and the Herglotz variational problem. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35028 |
DOI: | 10.3934/math.20221028 |
Publisher Version: | https://www.aimspress.com/article/doi/10.3934/math.20221028 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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10.3934_math.20221028.pdf | 263.24 kB | Adobe PDF | View/Open |
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