Goodrich, Christopher S.Brzo, Aram BahrozBaleanu, DumitruHamed, Yasser S.Mohammed, Pshtiwan Othman02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-04-252025-09-182024-04-252025-09-182022Mohammed, 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.4062-4074.1551-0018https://doi.org/10.3934/mbe.2022186https://hdl.handle.net/123456789/10460Brzo, Aram/0000-0002-1257-9377; Mohammed, Pshtiwan/0000-0001-6837-8075This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The v-monotonicity definitions, namely v-(strictly) increasing and v-(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with v-monotonicity definitions, we find that the investigated discrete fractional operators will be v(2)-(strictly) increasing or v(2)-(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 CalculusNabla Ab-Fractional OperatorsMonotonicity InvestigationArticle10.3934/mbe.20221862-s2.0-85124794521