Analysis of positivity results for discrete fractional operators by means of exponential kernels

Pshtiwan Othman Mohammed; Donal O’regan; Aram Bahroz Brzo; Khadijah M. Abualnaja; Dumitru Baleanu

doi:10.3934/math.2022865

Analysis of positivity results for discrete fractional operators by means of exponential kernels

Pshtiwan Othman Mohammed
, Donal O’regan
, Aram Bahroz Brzo
, Khadijah M. Abualnaja
, Dumitru Baleanu

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete ∆ fractional operators in the Caputo sense and we apply efficient initial conditions to obtain our conclusions. Note positivity results are an important factor for obtaining the composite of double discrete fractional operators having different orders.

Original language	English
Pages (from-to)	15812-15823
Number of pages	12
Journal	AIMS Mathematics
Volume	7
Issue number	9
DOIs	https://doi.org/10.3934/math.2022865
Publication status	Published - 2022

Keywords

discrete CF-fractional operators
discrete fractional calculus
monotonicity analyses

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10.3934/math.2022865

Cite this

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title = "Analysis of positivity results for discrete fractional operators by means of exponential kernels",

abstract = "In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete ∆ fractional operators in the Caputo sense and we apply efficient initial conditions to obtain our conclusions. Note positivity results are an important factor for obtaining the composite of double discrete fractional operators having different orders.",

keywords = "discrete CF-fractional operators, discrete fractional calculus, monotonicity analyses",

author = "Mohammed, \{Pshtiwan Othman\} and Donal O{\textquoteright}regan and Brzo, \{Aram Bahroz\} and Abualnaja, \{Khadijah M.\} and Dumitru Baleanu",

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year = "2022",

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language = "English",

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AU - Mohammed, Pshtiwan Othman

AU - O’regan, Donal

AU - Brzo, Aram Bahroz

AU - Abualnaja, Khadijah M.

AU - Baleanu, Dumitru

PY - 2022

Y1 - 2022

N2 - In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete ∆ fractional operators in the Caputo sense and we apply efficient initial conditions to obtain our conclusions. Note positivity results are an important factor for obtaining the composite of double discrete fractional operators having different orders.

AB - In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete ∆ fractional operators in the Caputo sense and we apply efficient initial conditions to obtain our conclusions. Note positivity results are an important factor for obtaining the composite of double discrete fractional operators having different orders.

KW - discrete CF-fractional operators

KW - discrete fractional calculus

KW - monotonicity analyses

UR - https://www.scopus.com/pages/publications/85133957335

U2 - 10.3934/math.2022865

DO - 10.3934/math.2022865

M3 - Article

AN - SCOPUS:85133957335

SN - 2473-6988

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SP - 15812

EP - 15823

JO - AIMS Mathematics

JF - AIMS Mathematics

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ER -

Analysis of positivity results for discrete fractional operators by means of exponential kernels

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Keywords

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