An Introduction to the Generalized Fractional Integration

The purpose of the present paper is to investigate the generalizedfractional integration of the generalized M-series.Some results derived by Saxena and Saigo [13], Samko, Kilbas and Marichev [15] are the special cases of the main results derived in this paper.

Bibliographic Details
Main Author: Kishan Sharma
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2012-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14760/7814
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spelling doaj-f5a91a2941134dfab32454504c6515d12020-11-25T00:26:25ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882012-01-013028590An Introduction to the Generalized Fractional IntegrationKishan SharmaThe purpose of the present paper is to investigate the generalizedfractional integration of the generalized M-series.Some results derived by Saxena and Saigo [13], Samko, Kilbas and Marichev [15] are the special cases of the main results derived in this paper.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14760/7814Wright generalized hypergeometric functionRiemann- Liou- ville fractional integral operatorsgeneralized Riemann-Liouville and Erdlyi-Kober fractional integral operatorsgeneralized M-series.
collection DOAJ
language English
format Article
sources DOAJ
author Kishan Sharma
spellingShingle Kishan Sharma
An Introduction to the Generalized Fractional Integration
Boletim da Sociedade Paranaense de Matemática
Wright generalized hypergeometric function
Riemann- Liou- ville fractional integral operators
generalized Riemann-Liouville and Erdlyi-Kober fractional integral operators
generalized M-series.
author_facet Kishan Sharma
author_sort Kishan Sharma
title An Introduction to the Generalized Fractional Integration
title_short An Introduction to the Generalized Fractional Integration
title_full An Introduction to the Generalized Fractional Integration
title_fullStr An Introduction to the Generalized Fractional Integration
title_full_unstemmed An Introduction to the Generalized Fractional Integration
title_sort introduction to the generalized fractional integration
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2012-01-01
description The purpose of the present paper is to investigate the generalizedfractional integration of the generalized M-series.Some results derived by Saxena and Saigo [13], Samko, Kilbas and Marichev [15] are the special cases of the main results derived in this paper.
topic Wright generalized hypergeometric function
Riemann- Liou- ville fractional integral operators
generalized Riemann-Liouville and Erdlyi-Kober fractional integral operators
generalized M-series.
url http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14760/7814
work_keys_str_mv AT kishansharma anintroductiontothegeneralizedfractionalintegration
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