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Two fractional integral operators associated with Fox H‐function due to Saxena and Kumbhat are applied to M‐series, which is an extension of both Mittag‐Leffler function and generalized hypergeometric function  _pF_q. The Mellin and Whittaker transforms are obtained for these compositional operators with M‐series. Further some interesting properties have been established including power function and Riemann‐Liouville fractional integral operators. The results are expressed in terms of H‐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.