Bivariate discrete Mittag-Leffler functions with associated discrete fractional operators

Pshtiwan Othman Mohammed, Cemaliye Kürt and Thabet Abdeljawad

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: Based on the recently published article about bivariate Mittag-Leffler function Eα,β,γδ(x) by Fernandez et al. (2020), we introduce the bivariate discrete Mittag-Leffler function, denoted by Eα,β,γ¯δ(λ1,λ2;x), as a discrete version of the results of Fernandez et al. under some constraints in this study. We establish this new definition to find a fractional difference equation. Then, we employ the fractional sum and differences formulas to get the results with respect to the bivariate discrete Mittag-Leffler function. Moreover, we give the discrete Laplace transform of the corresponding discrete function and build up the discrete sum operator to show up the semigroup property on some constraints. Also, left inverse of the discrete sum operator is given. Finally, we end the paper by two examples and conclusion.

Keywords: Bivariate discrete Mittag-Leffler function; Discrete fractional sums/differences; Semigroup property (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792201027X
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:165:y:2022:i:p2:s096007792201027x

DOI: 10.1016/j.chaos.2022.112848

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().