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New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel

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2022

Authors

Mohammed, Pshtiwan Othman
Goodrich, Christopher S.
Brzo, Aram Bahroz
Baleanu, Dumitru
Hamed, Yasser S.

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Open Access Color

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Abstract

This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The ν-monotonicity definitions, namely ν-(strictly) increasing and ν-(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with ν-monotonicity definitions, we find that the investigated discrete fractional operators will be ν2-(strictly) increasing or ν2-(strictly) decreasing in certain domains of the time scale Na := {a, a + 1, . . . }. Finally, the correctness of developed theories is verified by deriving mean value theorem in discrete fractional calculus.

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Discrete Fractional Calculus, Monotonicity Investigations, Nabla AB-Fractional Operator

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Mohammed, Pshtiwan Othman;...et.al. "New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel", Mathematical Biosciences and Engineering, Vol.19, No.4, pp.4062-4074.

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Mathematical Biosciences and Engineering

Volume

19

Issue

4

Start Page

4062

End Page

4074