Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/27488
Título: | Further properties of Osler's generalized fractional integrals and derivatives with respect to another function |
Autor: | Almeida, Ricardo |
Palavras-chave: | Fractional integral Fractional derivative Taylor’s theorem Semigroup law Expansion formulas |
Data: | 2019 |
Editora: | Rocky Mountain Mathematics Consortium |
Resumo: | In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27488 |
DOI: | 10.1216/RMJ-2019-49-8-2459 |
ISSN: | 0035-7596 |
Versão do Editor: | https://projecteuclid.org/euclid.rmjm/1580461777 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[2019] Further properties of Osler's generalized fractional integrals and derivatives with respect to another function.pdf | 555.92 kB | Adobe PDF | Ver/Abrir |
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