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Monotonicity result for nabla fractional $h$-difference operators
  • +1
  • Xiang Liu,
  • Feifei Du,
  • Douglas Anderson,
  • Baoguo Jia
Xiang Liu
Hebei Normal University
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Feifei Du
Shanghai Jiaotong University
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Douglas Anderson
Concordia College
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Baoguo Jia
Sun Yat-Sen University
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Abstract

In this paper, we give a new method to show a monotonicity result for a function $f$ satisfying $(_{a}\nabla_{h}^{\nu}f)(t)\leq0$ ($(_{a}\nabla_{h,\ast}^{\nu}f)(t)\leq0$) with $\nu\in(0,1]$, which has never been solved in other papers. In addition, we give an example to illustrate one of our main results.

Peer review status:Published

08 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
12 Jul 2020Submission Checks Completed
12 Jul 2020Assigned to Editor
17 Jul 2020Reviewer(s) Assigned
20 Jul 2020Review(s) Completed, Editorial Evaluation Pending
22 Jul 2020Editorial Decision: Revise Minor
01 Aug 20201st Revision Received
01 Aug 2020Submission Checks Completed
01 Aug 2020Assigned to Editor
01 Aug 2020Editorial Decision: Accept
26 Aug 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.6823