Generalized Fractional Integral Operators and -Series

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

Journal of Mathematics, 2016, vol. 2016, 1-10

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2872185

DOI: 10.1155/2016/2872185

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