Mohammed, Pshtiwan OthmanDahal, RajendraGoodrich, Christopher S.Hamed, Y. SBaleanu, Dumitru2023-11-242023-11-242023Mohammed, Pshtiwan Othman...et.al. (2023). "Analytical and numerical negative boundedness of fractional differences with Mittag-Leffler kernel", Aims Mathematics, Vol.8, No.3, pp.5540-5550.2473-6988http://hdl.handle.net/20.500.12416/6640We 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 ResultsArticle835540555010.3934/math.2023279