Generalized Fractional Integral Operators and M-Series
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 pFq. The Mellin and Whittaker transforms are obtained for these compositional operators wi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/2872185 |
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| author | A. M. Khan R. K. Kumbhat Amit Chouhan Anita Alaria |
| author_facet | A. M. Khan R. K. Kumbhat Amit Chouhan Anita Alaria |
| author_sort | A. M. Khan |
| collection | DOAJ |
| description | 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 pFq. 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. |
| format | Article |
| id | doaj-art-bdd15dcd02444d1b826a9ce336587dff |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bdd15dcd02444d1b826a9ce336587dff2025-02-03T06:13:58ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/28721852872185Generalized Fractional Integral Operators and M-SeriesA. M. Khan0R. K. Kumbhat1Amit Chouhan2Anita Alaria3Department of Mathematics, JIET Group of Institutions, Jodhpur 342002, IndiaDepartment of Mathematics and Statistics, J. N. V. University, Jodhpur 342002, IndiaDepartment of Mathematics, Kota University, Kota 324005, IndiaDepartment of Mathematics, Poornima University, Jaipur 302022, IndiaTwo 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 pFq. 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.http://dx.doi.org/10.1155/2016/2872185 |
| spellingShingle | A. M. Khan R. K. Kumbhat Amit Chouhan Anita Alaria Generalized Fractional Integral Operators and M-Series Journal of Mathematics |
| title | Generalized Fractional Integral Operators and M-Series |
| title_full | Generalized Fractional Integral Operators and M-Series |
| title_fullStr | Generalized Fractional Integral Operators and M-Series |
| title_full_unstemmed | Generalized Fractional Integral Operators and M-Series |
| title_short | Generalized Fractional Integral Operators and M-Series |
| title_sort | generalized fractional integral operators and m series |
| url | http://dx.doi.org/10.1155/2016/2872185 |
| work_keys_str_mv | AT amkhan generalizedfractionalintegraloperatorsandmseries AT rkkumbhat generalizedfractionalintegraloperatorsandmseries AT amitchouhan generalizedfractionalintegraloperatorsandmseries AT anitaalaria generalizedfractionalintegraloperatorsandmseries |