Generalized fractional integral operators and the multivariable H-function

Praveen Agarwal; Sergei V. Rogosin; Erkinjon T. Karimov; Mehar Chand

doi:10.1186/s13660-015-0878-y

Generalized fractional integral operators and the multivariable H-function

Praveen Agarwal
, Sergei V. Rogosin
, Erkinjon T. Karimov
, Mehar Chand

International College of Engineering
Belarusian State University
National University of Uzbekistan named after Mirzo Ulugbek
Fateh College for Women

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

5 Scopus citations

Abstract

The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg. All the results derived here are of general character and can yield a number of (new and known) results in the theory of fractional calculus.

Original language	English
Article number	350
Pages (from-to)	1-17
Number of pages	17
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13660-015-0878-y
State	Published - 1 Dec 2015
Externally published	Yes

Keywords

Marichev-Saigo-Maeda fractional integral operator
Mittag-Leffler function
first class of multivariable polynomials
multivariable H-function

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10.1186/s13660-015-0878-y

Cite this

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abstract = "The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg. All the results derived here are of general character and can yield a number of (new and known) results in the theory of fractional calculus.",

keywords = "Marichev-Saigo-Maeda fractional integral operator, Mittag-Leffler function, first class of multivariable polynomials, multivariable H-function",

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T1 - Generalized fractional integral operators and the multivariable H-function

AU - Agarwal, Praveen

AU - Rogosin, Sergei V.

AU - Karimov, Erkinjon T.

AU - Chand, Mehar

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg. All the results derived here are of general character and can yield a number of (new and known) results in the theory of fractional calculus.

AB - The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg. All the results derived here are of general character and can yield a number of (new and known) results in the theory of fractional calculus.

KW - Marichev-Saigo-Maeda fractional integral operator

KW - Mittag-Leffler function

KW - first class of multivariable polynomials

KW - multivariable H-function

UR - https://www.scopus.com/pages/publications/84946118390

U2 - 10.1186/s13660-015-0878-y

DO - 10.1186/s13660-015-0878-y

M3 - Article

AN - SCOPUS:84946118390

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VL - 2015

SP - 1

EP - 17

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 350

ER -

Generalized fractional integral operators and the multivariable H-function

Abstract

Keywords

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