Open AccessFractional Calculus of the Generalized Mittag-Leffler Type Function
Author(s) -
Dinesh Kumar,
Sunil Kumar
Publication year - 2014
Publication title -
international scholarly research notices
Language(s) - English
Resource type - Journals
ISSN - 2356-7872
DOI - 10.1155/2014/907432
Subject(s) - fractional calculus , type (biology) , calculus (dental) , computer science , function (biology) , mathematics , medicine , ecology , dentistry , evolutionary biology , biology
We introduce and study a new function called R -function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R -function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of the main results derived in this paper.
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