Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/21366
Título: | Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences |
Autor: | Abdeljawad, Thabet Torres, Delfim F. M. |
Palavras-chave: | Right (left) delta and nabla fractional sums Right (left) delta and nabla fractional differences Symmetric duality The Q-operator Summation by parts Discrete fractional calculus |
Data: | 2017 |
Editora: | Elsevier |
Resumo: | A discrete version of the symmetric duality of Caputo–Torres, to relate left and right Riemann–Liouville and Caputo fractional differences, is considered. As a corollary, we provide an evidence to the fact that in case of right fractional differences, one has to mix between nabla and delta operators. As an application, we derive right fractional summation by parts formulas and left fractional difference Euler–Lagrange equations for discrete fractional variational problems whose Lagrangians depend on right fractional differences. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21366 |
DOI: | 10.1016/j.ajmsc.2016.07.001 |
ISSN: | 1319-5166 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[354]Abdeljawad_Torres.pdf | 292.86 kB | Adobe PDF |
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