Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences

Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences

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...

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Bibliographic Details
Main Authors: Thabet Abdeljawad, Delfim F.M. Torres
Format: Article
Language:English
Published: Emerald Publishing 2017-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
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
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516616300214

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http://www.sciencedirect.com/science/article/pii/S1319516616300214

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