Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1330

 Title: Fractional Integration and Fractional Differentiation of the M-Series Authors: Sharma, Manoj Keywords: Fractional Calculus OperatorsSpecial Functions26A3333C6044A15 Issue Date: 2008 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 11, No 2, (2008), 187p-191p Abstract: In 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. Description: Mathematics Subject Classification: 26A33, 33C60, 44A15 URI: http://hdl.handle.net/10525/1330 ISSN: 1311-0454 Appears in Collections: 2008

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