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Journal of Mathematics - Volume 2016 2016, Article ID 2872185, 10 pages -

Research Article

Department of Mathematics, JIET Group of Institutions, Jodhpur 342002, India

Department of Mathematics and Statistics, J. N. V. University, Jodhpur 342002, India

Department of Mathematics, Kota University, Kota 324005, India

Department of Mathematics, Poornima University, Jaipur 302022, India

Received 25 November 2015; Revised 7 February 2016; Accepted 18 February 2016

Academic Editor: Tepper L. Gill

Copyright © 2016 A. M. Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.

Author: A. M. Khan, R. K. Kumbhat, Amit Chouhan, and Anita Alaria



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