A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators
We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erdélyi-Kober, Riem...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/9864737 |
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| author | D. L. Suthar Mitku Andualem Belete Debalkie |
| author_facet | D. L. Suthar Mitku Andualem Belete Debalkie |
| author_sort | D. L. Suthar |
| collection | DOAJ |
| description | We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section. |
| format | Article |
| id | doaj-art-aa0cdc3c67924fe09f6ca98bad3f16d9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-aa0cdc3c67924fe09f6ca98bad3f16d92025-02-03T05:50:48ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/98647379864737A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus OperatorsD. L. Suthar0Mitku Andualem1Belete Debalkie2Department of Mathematics, Wollo University, Dessie, P.O. Box:1145, Amahara Region, EthiopiaDepartment of Mathematics, Wollo University, Dessie, P.O. Box:1145, Amahara Region, EthiopiaDepartment of Mathematics, Wollo University, Dessie, P.O. Box:1145, Amahara Region, EthiopiaWe study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section.http://dx.doi.org/10.1155/2019/9864737 |
| spellingShingle | D. L. Suthar Mitku Andualem Belete Debalkie A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators Journal of Mathematics |
| title | A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators |
| title_full | A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators |
| title_fullStr | A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators |
| title_full_unstemmed | A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators |
| title_short | A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators |
| title_sort | study on generalized multivariable mittag leffler function via generalized fractional calculus operators |
| url | http://dx.doi.org/10.1155/2019/9864737 |
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