Generalized Fractional Integral Operators and -Series

Two fractional integral operators associated with Fox -function due to Saxena and Kumbhat are applied to -series, which is an extension of both Mittag-Leffler function and generalized hypergeometric function . The Mellin and Whittaker transforms are obtained for these compositional operators with -series. Further some interesting properties have been established including power function and Riemann-Liouville fractional integral operators. The results are expressed in terms of -function, which are in compact form suitable for numerical computation. Special cases of the results are also pointed out in the form of lemmas and corollaries.

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