Analysis of Positivity Results for Discrete Fractional Operators by Means of Exponential Kernels
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
Yes
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Average
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Average
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Top 10%
Abstract
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.
Description
Mohammed, Pshtiwan/0000-0001-6837-8075
ORCID
Keywords
Discrete Fractional Calculus, Discrete Cf-Fractional Operators, Monotonicity Analyses, Financial economics, Economics, Applied Mathematics, Exponential function, Fractional calculus, Pure mathematics, Matrix Inequalities and Geometric Means, Applied mathematics, discrete fractional calculus, monotonicity analyses, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Integrals, Convexity, discrete cf-fractional operators, Physical Sciences, QA1-939, FOS: Mathematics, Kernel (algebra), Mathematics, Monotonic function
Fields of Science
01 natural sciences, 0101 mathematics
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
3
Source
AIMS Mathematics
Volume
7
Issue
9
Start Page
15812
End Page
15823
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Citations
Scopus : 3
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