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Published in:

Volume 5 Issue 10
October-2018
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1810A29


Registration ID:
304961

Page Number

855-865

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Title

A STUDY OF GENERALIZED FRACTIONAL INTEGRA OPERATORS INVOLVING THE ALEPH FUNCTION AND GENERALIZED WRIGHT’S HYPERGEOMETRIC FUNCTION

Abstract

The aim of the present paper is to introduce and study new generalized fractional integral operators involving the product of - function and generalized Wright’s hypergeometric function. On account of the most general nature of the above functions, a large number of fractional integral operators introduced by several authors lying scattered in the literature follow as special cases of our findings. Thus our operators of study generalize the fractional integral operators given by Gupta et al. [2], Saxena and Kumbhat [17], Saigo [16], Kober [11], Riemann-Liouville [11]. Next, we obtain the images of - function in our operators of study. Finally, we obtain the images of simpler fractional integral operators involving several special functions notably the H-function, generalized hypergeometric function , generalized Wright Bessel’s function , generalized Mittag-Leffler function , extended Hurwitz-Lerch Zeta function . 2010 Mathematics Subject Classification: fractional integral operators, -function, H-function, Mittag-Leffler function, generalized Wright’s hypergeomtric function, Bessel function, extended Hurwitz-Lerch Zeta function .

Key Words

26A33, 33C10, 33C60, 33E12, 33E20.

Cite This Article

"A STUDY OF GENERALIZED FRACTIONAL INTEGRA OPERATORS INVOLVING THE ALEPH FUNCTION AND GENERALIZED WRIGHT’S HYPERGEOMETRIC FUNCTION ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 10, page no.855-865, October-2018, Available :http://www.jetir.org/papers/JETIR1810A29.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"A STUDY OF GENERALIZED FRACTIONAL INTEGRA OPERATORS INVOLVING THE ALEPH FUNCTION AND GENERALIZED WRIGHT’S HYPERGEOMETRIC FUNCTION ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 10, page no. pp855-865, October-2018, Available at : http://www.jetir.org/papers/JETIR1810A29.pdf

Publication Details

Published Paper ID: JETIR1810A29
Registration ID: 304961
Published In: Volume 5 | Issue 10 | Year October-2018
DOI (Digital Object Identifier):
Page No: 855-865
Country: -, -, - .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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