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A basic study of a fractional integral operator with extended Mittag-Leffler kernel
Journal article   Open access  Peer reviewed

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

Gauhar Rahman, Iyad Suwan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz, Asad Ali and Department of Medical Research, China Medical University, Taichung 40402, Taiwan
AIMS mathematics, Vol.6(11), pp.12757-12770
01/01/2021
DOI: https://doi.org/10.3934/math.2021736

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/math.2021736View
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