Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/16198
Título: | Fractional differential equations with dependence on the Caputo-Katugampola derivative |
Autor: | Almeida, R. Malinowska, A. B. Odzijewicz, T. |
Palavras-chave: | Fractional calculus Fractional differential equations Caputo–Katugampola derivative Numerical methods |
Data: | Set-2016 |
Editora: | American Society of Mechanical Engineers (ASME) |
Resumo: | In this paper we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy type problem, with dependence on the Caputo–Katugampola derivative, is proven. A decomposition formula for the Caputo–Katugampola derivative is obtained. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16198 |
DOI: | 10.1115/1.4034432 |
ISSN: | 1555-1415 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
preprint_RV.pdf | Main article | 498.57 kB | Adobe PDF |
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