Monotonicity Analysis of Fractional Proportional Differences

Iyad Suwan, Shahd Owies, Muayad Abussa and Thabet Abdeljawad

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-11

Abstract:

In this work, the nabla discrete new Riemann–Liouville and Caputo fractional proportional differences of order on the time scale are formulated. The differences and summations of discrete fractional proportional are detected on , and the fractional proportional sums associated to with order 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 then is increasing, and if is strictly increasing on and , then . As an application of our findings, a new version of the fractional proportional difference of the mean value theorem (MVT) on is proved.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2020/4867927.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2020/4867927.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:4867927

DOI: 10.1155/2020/4867927

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().