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