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A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family
Journal article   Open access  Peer reviewed

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 and Y. S. Hamed
Axioms, Vol.12(2), p.114
01/01/2023
DOI: https://doi.org/10.3390/axioms12020114

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.
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https://doi.org/10.3390/axioms12020114View
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