Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal; Juan J. Nieto

doi:10.1515/math-2015-0051

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal
, Juan J. Nieto

International College of Engineering
University of Santiago de Compostela
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

In this paper we present some results from the theory of fractional integration operators (of Marichev-Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters_{ζ , γ,} E_{μ, ν}[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.

Original language	English
Pages (from-to)	537-546
Number of pages	10
Journal	Central European Journal of Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/math-2015-0051
State	Published - 1 Jan 2015
Externally published	Yes

Keywords

Generalized Wright function
Marichev-Saigo-Maeda type fractional integral operators
Mittag-Leffler type function with four parameters

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10.1515/math-2015-0051

Cite this

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abstract = "In this paper we present some results from the theory of fractional integration operators (of Marichev-Saigo-Maeda type) involving the Mittag-Leffler type function with four parametersζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.",

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KW - Mittag-Leffler type function with four parameters

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Some fractional integral formulas for the Mittag-Leffler type function with four parameters

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Keywords

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