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On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications |
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PP: 79-93 |
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doi:10.18576/amis/170110
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Author(s) |
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Rupakshi Mishra Pandey,
Ankita Chandola,
Ritu Agarwal,
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Abstract |
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| Fractional calculus is of utmost importance because of its extensive use in various fields of inequality theory, applied mathematics, science and engineering. In this paper, our aim is to discuss some image formulas involving various fractional operators that has kernel as the Appell function and the Saigo operators with Bessel-Maitland function and m-parameter Mittag-Leffler function. The results are then represented in the form of the generalized Wright-hypergeometric function. Further, some special and particular cases involving the Mittag-Leffler function, the Wiman function, the Prabhakar function among other generalizations of the Mittag- Leffler function are induced.
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