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Monotonicity Analysis of Fractional Proportional Differences
Joint Authors
Abdeljawad (Maraaba), T.
Suwan, Iyad
Owies, Shahd
Abussa, Muayad
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this work, the nabla discrete new Riemann–Liouville and Caputo fractional proportional differences of order 0<ε<1 on the time scale ℤ are formulated.
The differences and summations of discrete fractional proportional are detected on ℤ, and the fractional proportional sums associated to ∇cRχε,ρz with order 0<ε<1 are defined.
The relation between nabla Riemann–Liouville and Caputo fractional proportional differences is derived.
The monotonicity results for the nabla Caputo fractional proportional difference are proved; specifically, if ∇c−1Rχε,ρz>0 then χz is ερ −increasing, and if χz is strictly increasing on ℕc and χc>0, then ∇c−1Rχε,ρz>0.
As an application of our findings, a new version of the fractional proportional difference of the mean value theorem (MVT) on ℤ is proved.
American Psychological Association (APA)
Suwan, Iyad& Owies, Shahd& Abussa, Muayad& Abdeljawad (Maraaba), T.. 2020. Monotonicity Analysis of Fractional Proportional Differences. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153105
Modern Language Association (MLA)
Suwan, Iyad…[et al.]. Monotonicity Analysis of Fractional Proportional Differences. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1153105
American Medical Association (AMA)
Suwan, Iyad& Owies, Shahd& Abussa, Muayad& Abdeljawad (Maraaba), T.. Monotonicity Analysis of Fractional Proportional Differences. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153105
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153105