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- W3175357943 abstract "The Prabhakar fractional operator is commonly acclaimed as the queen model of fractional calculus . Our aim in this article is to introduce the notion of the discrete Prabhakar fractional operator with discrete generalized Mittag-Leffler function in the kernel, in the context of discrete fractional calculus. Also, we examine some relationships between our new model with the discrete Atangana–Baleanu fractional model implemented by Abdeljawad. By doing these relationships, we can find a few interesting properties of both, as well as of the original discrete Atangana–Baleanu fractional models and their iterated forms. We can confirm that this is the first paper introducing and studying the discrete Prabhakar fractional operators in the context of discrete fractional calculus." @default.
- W3175357943 created "2021-07-05" @default.
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- W3175357943 date "2021-09-01" @default.
- W3175357943 modified "2023-09-24" @default.
- W3175357943 title "Discrete Prabhakar fractional difference and sum operators" @default.
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- W3175357943 doi "https://doi.org/10.1016/j.chaos.2021.111182" @default.
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