Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/21366
Title: | Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences |
Author: | Abdeljawad, Thabet Torres, Delfim F. M. |
Keywords: | 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 |
Issue Date: | 2017 |
Publisher: | Elsevier |
Abstract: | 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 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[354]Abdeljawad_Torres.pdf | 292.86 kB | Adobe PDF |
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