Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2019-07-01
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| Series: | Arab Journal of Mathematical Sciences |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516618301117 |
| Summary: | In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results. Keywords: Fractional calculus operators, Fox–Wright function, Fox H-function, Generalized p-k-Mittag-Leffler function, Mathematics Subject Classification: 26A33, 33C20, 33E12, 62E12 |
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| ISSN: | 1319-5166 |