Fractional Integration and Fractional Differentiation of the M-Series

Sharma, 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 -