Geodesic
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 141-154

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It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier by Kilbas and Saigo follow as special cases.
Keywords: Mittag-Leffler Function, Fractional Calculus, Confluent Hypergeometric Function, Konhauser Polynomials, 26A33, 33E12, 33C20 
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     title = {Certain {Properties} of {Fractional} {Calculus} {Operators} {Associated} with {Generalized} {Mittag-Leffler} {Function}},
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Saxena, R. K.; Saigo, Megumi. Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 141-154. http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a3/