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

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 conditi...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 9; pp. 15812 - 15823
Main Authors Mohammed, Pshtiwan Othman, O'Regan, Donal, Brzo, Aram Bahroz, Abualnaja, Khadijah M., Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
discrete cf-fractional operators
discrete fractional calculus
monotonicity analyses
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022865