Generalized Fractional Integral Operators andM-Series
Keyword(s):
Two fractional integral operators associated with FoxH-function due to Saxena and Kumbhat are applied toM-series, which is an extension of both Mittag-Leffler function and generalized hypergeometric functionpFq. The Mellin and Whittaker transforms are obtained for these compositional operators withM-series. Further some interesting properties have been established including power function and Riemann-Liouville fractional integral operators. The results are expressed in terms ofH-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.
2021 ◽
Vol 17
(1)
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pp. 37-64
2020 ◽
pp. 227-242
2010 ◽
Vol 2
(5)
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