Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/54412
Título: | Modeling some real phenomena by fractional differential equations |
Autor(es): | Almeida, Ricardo Bastos, Nuno R. O. Monteiro, M. Teresa T. |
Palavras-chave: | Fractional calculus Fractional differential equation Numerical optimization |
Data: | 1-Nov-2016 |
Editora: | Wiley-Blackwell |
Revista: | Mathematical Methods in the Applied Sciences |
Citação: | Almeida, R., Bastos, N. R., & Monteiro, M. T. T. (2016). Modeling some real phenomena by fractional differential equations. Mathematical Methods in the Applied Sciences, 39(16), 4846-4855. |
Resumo(s): | 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. Copyright (c) 2015 John Wiley & Sons, Ltd. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/54412 |
DOI: | 10.1002/mma.3818 |
ISSN: | 0170-4214 |
Versão da editora: | https://onlinelibrary.wiley.com/doi/full/10.1002/mma.3818 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CAlg - Artigos em revistas internacionais / Papers in international journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Bastos_Monteiro_Almeida.pdf Acesso restrito! | 163,1 kB | Adobe PDF | Ver/Abrir |