On Novel Fractional Integral and Differential Operators and Their Properties

Shahid Mubeen, Rana Safdar Ali, Yasser Elmasry, Ebenezer Bonyah, Artion Kashuri, Gauhar Rahman, Çetin Yildiz and A. Hussain

Journal of Mathematics, 2023, vol. 2023, 1-20

Abstract: The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential operators. The convergence and boundedness of the newly operators and compare them with the existing operators such as the Saigo and Riemann–Liouville fractional operators are explored. The integral transforms of newly defined and generalized fractional operators in terms of the generalized Fox–Wright function are presented. Additionally, we discuss a few exceptional cases of the main result.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2023/4165363.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2023/4165363.xml (application/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:jjmath:4165363

DOI: 10.1155/2023/4165363

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().