Mohammed, Pshtiwan OthmanGoodrich, Christopher S.Brzo, Aram BahrozBaleanu, DumitruHamed, Yasser S.2024-04-252024-04-252022Mohammed, Pshtiwan Othman;...et.al. "New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel", Mathematical Biosciences and Engineering, Vol.19, No.4, pp.4062-4074.15471063http://hdl.handle.net/20.500.12416/7979This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The ν-monotonicity definitions, namely ν-(strictly) increasing and ν-(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with ν-monotonicity definitions, we find that the investigated discrete fractional operators will be ν2-(strictly) increasing or ν2-(strictly) decreasing in certain domains of the time scale Na := {a, a + 1, . . . }. Finally, the correctness of developed theories is verified by deriving mean value theorem in discrete fractional calculus.eninfo:eu-repo/semantics/openAccessDiscrete Fractional CalculusMonotonicity InvestigationsNabla AB-Fractional OperatorArticle1944062407410.3934/mbe.2022186