Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16214
Title: | Modeling some real phenomena by fractional differential equations |
Author: | Almeida, Ricardo Bastos, Nuno R. O. Monteiro, M. Teresa T. |
Keywords: | Fractional calculus Fractional differential equation Numerical optimization |
Issue Date: | 15-Nov-2016 |
Publisher: | Wiley |
Abstract: | This paper deals with fractional differential equations, with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experimental data from several experiments, that fractional differential equations may model more efficiently certain problems than ordinary differential equations. A numerical optimization approach based on least squares approximation is used to determine the order of the fractional operator that better describes real data, as well as other related parameters. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16214 |
DOI: | 10.1002/mma.3818 |
ISSN: | 0170-4214 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Almeida_Bastos_Monteiro_rev.pdf | Main article | 172.68 kB | Adobe PDF |
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