Marichev-saigo-maeda fractional integral operators involving the product of generalized bessel-maitland functions

D. L. Suthar; P. Agarwal; Hafte Amsalu

doi:10.5269/bspm.36991

Marichev-saigo-maeda fractional integral operators involving the product of generalized bessel-maitland functions

D. L. Suthar
, P. Agarwal
, Hafte Amsalu

Wollo University
International College of Engineering

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

6 Scopus citations

Abstract

The aim of this paper is to evaluate two theorems for fractional integration involving Appell’s function F₃(.) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel-Maitland function. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. Further, we point out also their relevance.

Original language	English
Pages (from-to)	95-105
Number of pages	11
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	39
Issue number	1
DOIs	https://doi.org/10.5269/bspm.36991
State	Published - 2021
Externally published	Yes

Keywords

(.)(.).
Generalized Bessel-Maitland function
Generalized Fractional integrals
Generalized Lauricella series in several variables

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10.5269/bspm.36991

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abstract = "The aim of this paper is to evaluate two theorems for fractional integration involving Appell{\textquoteright}s function F3(.) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel-Maitland function. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erd{\'e}lyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. Further, we point out also their relevance.",

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T1 - Marichev-saigo-maeda fractional integral operators involving the product of generalized bessel-maitland functions

AU - Suthar, D. L.

AU - Agarwal, P.

AU - Amsalu, Hafte

N1 - Publisher Copyright: © Soc. Paran. de Mat.

PY - 2021

Y1 - 2021

N2 - The aim of this paper is to evaluate two theorems for fractional integration involving Appell’s function F3(.) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel-Maitland function. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. Further, we point out also their relevance.

AB - The aim of this paper is to evaluate two theorems for fractional integration involving Appell’s function F3(.) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel-Maitland function. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. Further, we point out also their relevance.

KW - (.)(.).

KW - Generalized Bessel-Maitland function

KW - Generalized Fractional integrals

KW - Generalized Lauricella series in several variables

UR - https://www.scopus.com/pages/publications/85095566725

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DO - 10.5269/bspm.36991

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VL - 39

SP - 95

EP - 105

JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

IS - 1

ER -

Marichev-saigo-maeda fractional integral operators involving the product of generalized bessel-maitland functions

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Keywords

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