Dahal, RajendraHamed, Y. S.Goodrich, Christopher S.Baleanu, DumitruMohammed, Pshtiwan Othman2023-11-242025-09-182023-11-242025-09-182023Mohammed, Pshtiwan Othman...et.al. (2023). "Analytical and numerical negative boundedness of fractional differences with Mittag-Leffler kernel", Aims Mathematics, Vol.8, No.3, pp.5540-5550.2473-6988https://doi.org/10.3934/math.2023279https://hdl.handle.net/20.500.12416/13437Mohammed, Pshtiwan/0000-0001-6837-8075We 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.eninfo:eu-repo/semantics/openAccessDiscrete Fractional CalculusMittag-Leffler Type KernelAnalytical And Numerical Monotonicity ResultsArticle10.3934/math.20232792-s2.0-85144074602