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Browsing by Author "Dahal, Rajendra"

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    Analytical and numerical negative boundedness of fractional differences with Mittag-Leffler kernel
    (2023) Baleanu, Dumitru; Dahal, Rajendra; Goodrich, Christopher S.; Hamed, Y. S; Baleanu, Dumitru; 56389
    We show that a class of fractional differences with Mittag-Leffler kernel can be negative and yet monotonicity information can still be deduced. Our results are complemented by numerical approximations. This adds to a growing body of literature illustrating that the sign of a fractional difference has a very complicated and subtle relationship to the underlying behavior of the function on which the fractional difference acts, regardless of the particular kernel used.