# Fractional Integration and Fractional Differentiation of the M-Series

Fractional Calculus and Applied Analysis (2008)

- Volume: 11, Issue: 2, page 187-191
- ISSN: 1311-0454

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topSharma, Manoj. "Fractional Integration and Fractional Differentiation of the M-Series." Fractional Calculus and Applied Analysis 11.2 (2008): 187-191. <http://eudml.org/doc/11341>.

@article{Sharma2008,

abstract = {Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced.
This series is a particular case of the H-function of Inayat-Hussain. The
M-series is interesting because the pFq -hypergeometric function and the
Mittag-Leffler function follow as its particular cases, and these functions
have recently found essential applications in solving problems in physics,
biology, engineering and applied sciences. Let us note that the Mittag-Leffler
function occurs as solution of fractional integral equations in those
area. In this short note we have obtained formulas for the fractional integral
and fractional derivative of the M-series.},

author = {Sharma, Manoj},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26A33; 33C60; 44A15},

language = {eng},

number = {2},

pages = {187-191},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Fractional Integration and Fractional Differentiation of the M-Series},

url = {http://eudml.org/doc/11341},

volume = {11},

year = {2008},

}

TY - JOUR

AU - Sharma, Manoj

TI - Fractional Integration and Fractional Differentiation of the M-Series

JO - Fractional Calculus and Applied Analysis

PY - 2008

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 11

IS - 2

SP - 187

EP - 191

AB - Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced.
This series is a particular case of the H-function of Inayat-Hussain. The
M-series is interesting because the pFq -hypergeometric function and the
Mittag-Leffler function follow as its particular cases, and these functions
have recently found essential applications in solving problems in physics,
biology, engineering and applied sciences. Let us note that the Mittag-Leffler
function occurs as solution of fractional integral equations in those
area. In this short note we have obtained formulas for the fractional integral
and fractional derivative of the M-series.

LA - eng

KW - 26A33; 33C60; 44A15

UR - http://eudml.org/doc/11341

ER -

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