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Analysis of positivity results for discrete fractional operators by means of exponential kernels
Journal article   Open access  Peer reviewed

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 and Dumitru Baleanu
AIMS mathematics, Vol.7(9), pp.15812-15823
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this study, we consider positivity and other related concepts such as alpha-convexity and alpha-monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete Delta 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.
url
https://doi.org/10.3934/math.2022865View
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