Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/60586
Título: | Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications |
Autor(es): | Almeida, Ricardo Malinowska, Agnieszka B. Monteiro, M. Teresa T. |
Palavras-chave: | Fractional calculus Fractional differential equations Population growth model Gross domestic product model |
Data: | 2018 |
Editora: | Wiley |
Revista: | Mathematical Methods in the Applied Sciences |
Resumo(s): | This paper is devoted to the study of the initial value problem of nonlinear fractional differential equations involving a Caputo-type fractional derivative with respect to another function. Existence and uniqueness results for the problem are established by means of the some standard fixed point theorems. Next, we develop the Picard iteration method for solving numerically the problem and obtain results on the long-term behavior of solutions. Finally, we analyze a population growth model and a gross domestic product model with governing equations being fractional differential equations that we have introduced in this work. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/60586 |
DOI: | 10.1002/mma.4617 |
ISSN: | 0170-4214 |
e-ISSN: | 1099-1476 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CAlg - Artigos em revistas internacionais / Papers in international journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
AMM_MMAS_RV2.pdf | 543,06 kB | Adobe PDF | Ver/Abrir |