Monotonicity Analysis for Nabla H-Discrete Fractional Atangana-Baleanu Differences
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Date
2018
Authors
Journal Title
Journal ISSN
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Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
No
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Abstract
In this article, benefiting from the nabla h-fractional functions and nabla h-Taylor polynomials, some properties of the nabla h-discrete version of Mittag-Leffler (h-ML) function are studied. The monotonicity of the nabla h-fractional difference operator with h-ML kernel (Atangana-Baleanu fractional differences) is discussed. As an application, the Mean Value Theorem (MVT) on hZ is proved. (C) 2018 Elsevier Ltd. All rights reserved.
Description
Jarad, Fahd/0000-0002-3303-0623
ORCID
Keywords
Nabla H-Discrete Version Of Mittag-Leffler (H-Ml), R-L H-Fractional Difference, Caputo H-Fractional Difference, H-Fractional Mean Value Theorem, Dynamic equations on time scales or measure chains, \(h\)-fractional mean value theorem, Discrete version of topics in analysis, nabla \(h\)-discrete version of Mittag-Leffler (\(h\)-ML), Caputo \(h\)-fractional difference, R-L \(h\)-fractional difference
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Suwan, Iyad; Abdeljawad, Thabet; Jarad, Fahd, "Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences", Chaos Solitons & Fractals, Vol. 117, pp. 50-59, (2019).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
37
Source
Chaos, Solitons & Fractals
Volume
117
Issue
Start Page
50
End Page
59
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CrossRef : 30
Scopus : 36
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37
checked on Feb 24, 2026
Web of Science™ Citations
34
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Page Views
4
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