Monotonicity results for h-discrete fractional operators and application

Abstract In this article, we formulate nabla fractional sums and differences of order 0<α≤1 $0 < \alpha \leq 1$ on the time scale hZ $h\mathbb{Z}$, where 0<h≤1 $0 < h \leq 1$. Then, we prove that if the nabla h-Riemann–Liouville (RL) fractional difference operator (a∇hαy)(t)>0 $({}_{a...

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Bibliographic Details
Main Authors: Iyad Suwan, Shahd Owies, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1660-5