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A basic study of a fractional integral operator with extended Mittag-Leffler kernel

Authors :
Gauhar Rahman
Iyad Suwan
Kottakkaran Sooppy Nisar
Thabet Abdeljawad
Muhammad Samraiz
Asad Ali
Source :
AIMS Mathematics, Vol 6, Iss 11, Pp 12757-12770 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function. In addition, we introduce a new extension of Prabhakar type fractional integrals with an extended Mittag-Leffler function in the kernel. Also, we present certain basic properties of the generalized Prabhakar type fractional integrals.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
11
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.36530a6b465a4c67aade01528deef6cd
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021736?viewType=HTML