A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family

Pshtiwan Othman Mohammed, Christopher S. Goodrich, Hari Mohan Srivastava, Eman Al-Sarairah, Y. S. Hamed

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In the present article, we explore the correlation between the sign of a Liouville–Caputo-type difference operator and the monotone behavior of the function upon which the difference operator acts. Finally, an example is also provided to demonstrate the application and the validation of the results which we have proved herein.

Original languageBritish English
Article number114
JournalAxioms
Volume12
Issue number2
DOIs
StatePublished - Feb 2023

Keywords

  • delta and nabla discrete fractional operators
  • Liouville–Caputo fractional difference operators
  • monotonicity analysis
  • positivity analysis

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