Fractional Calculus Pertaining to Generalized H -Functions

Dinesh Kumar; Jitendra Daiya

Fractional Calculus Pertaining to Generalized H -Functions

Dinesh Kumar * § Ph.D., M.Phil., M.Sc.

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Jitendra Daiya

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§ Pratap University, Jaipur

Fractional Calculus Pertaining to Generalized H -Functions

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Abstract

This paper is devoted to study of a pair of unified and extended fractional integral operators involving the multivariable H-Function, I-Function and general class of polynomials. Mellin transforms of these operators are investigated. Further, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of fractional integral operators involving simpler functions can be obtained as special cases of our main results.

References

20 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dinesh Kumar, Jitendra Daiya. 2014. "Fractional Calculus Pertaining to Generalized H -Functions". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F3).

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GJSFR Volume 14 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

fractional calculus general class of polynomials I-function mellin transform Multivariable H-function

Classification

GJSFR-F Classification MSC 2010: 26A33

33C05

33C40

33C45

33C60

Submission ReceivedMarch 25, 2014
Peer Review Double Blind
Handling Editor
Accepted April 24, 2014
Published May 8, 2014

Version of record

v1.2

Issue date

July 17, 2014

Language

English

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Article Matrices

Total Score: 146

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Dinesh Kumar, Jitendra Daiya (PhD/Dr. count: 0)

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Publish Date: 2014 05, Thu

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