Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/15022
Título: | Caputo derivatives of fractional variable order: numerical approximations |
Autor: | Tavares, Dina Almeida, Ricardo Torres, Delfim F. M. |
Palavras-chave: | Fractional calculus Fractional variable order Fractional differential equations Approximation methods |
Data: | Jun-2016 |
Editora: | Elsevier |
Resumo: | We present a new numerical tool to solve partial differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one of them an approximation formula is obtained in terms of standard (integerorder) derivatives only. Estimations for the error of the approximations are also provided. We then compare the numerical approximation of some test function with its exact fractional derivative. We end with an exemplification of how the presented methods can be used to solve partial fractional differential equations of variable order. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15022 |
DOI: | 10.1016/j.cnsns.2015.10.027 |
ISSN: | 1007-5704 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Tavares_Almeida_Torres_RV.pdf | Article | 582.98 kB | Adobe PDF | Ver/Abrir |
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