Analysis of positivity results for discrete fractional operators by means of exponential kernels
Date
2022
Authors
Mohammed, Pshtiwan Othman
O’regan, Donal
Brzo, Aram Bahroz
Abualnaja, Khadijah M.
Baleanu, Dumitru
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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.
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Keywords
Discrete CF-Fractional Operators, Discrete Fractional Calculus, Monotonicity Analyses
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Citation
Mohammed, Pshtiwan Othman;...et.al. (2022). "Analysis of positivity results for discrete fractional operators by means of exponential kernels", AIMS Mathematics, Vol.7, No.9, pp.15812-15823.
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Source
AIMS Mathematics
Volume
7
Issue
9
Start Page
15812
End Page
15823