Publicação
Green's theorem for generalized fractional derivatives
| Resumo: | We study three types of generalized partial fractional order operators. An extension of Green's theorem, by considering partial fractional derivatives with more general kernels, is proved. New results are obtained, even in the particular case when the generalized operators are reduced to the standard partial fractional derivatives and fractional integrals in the sense of Riemann-Liouville or Caputo. |
|---|---|
| Autores principais: | Odzijewicz, T. |
| Outros Autores: | Malinowska, A.B.; Torres, D.F.M. |
| Assunto: | fractional calculus generalized operators Green's theorem |
| Ano: | 2013 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | We study three types of generalized partial fractional order operators. An extension of Green's theorem, by considering partial fractional derivatives with more general kernels, is proved. New results are obtained, even in the particular case when the generalized operators are reduced to the standard partial fractional derivatives and fractional integrals in the sense of Riemann-Liouville or Caputo. |
|---|