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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
    (Amer inst Mathematical Sciences-aims, 2023) Dahal, Rajendra; Hamed, Y. S.; Goodrich, Christopher S.; Baleanu, Dumitru; Mohammed, Pshtiwan Othman; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.