Jarad, FahdSuwan, IyadAbdeljawad, Thabet2020-03-182025-09-182020-03-182025-09-182018Suwan, Iyad; Abdeljawad, Thabet; Jarad, Fahd, "Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences", Chaos Solitons & Fractals, Vol. 117, pp. 50-59, (2019).0960-07791873-2887https://doi.org/10.1016/j.chaos.2018.10.010https://hdl.handle.net/20.500.12416/14255Jarad, Fahd/0000-0002-3303-0623In this article, benefiting from the nabla h-fractional functions and nabla h-Taylor polynomials, some properties of the nabla h-discrete version of Mittag-Leffler (h-ML) function are studied. The monotonicity of the nabla h-fractional difference operator with h-ML kernel (Atangana-Baleanu fractional differences) is discussed. As an application, the Mean Value Theorem (MVT) on hZ is proved. (C) 2018 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessNabla H-Discrete Version Of Mittag-Leffler (H-Ml)R-L H-Fractional DifferenceCaputo H-Fractional DifferenceH-Fractional Mean Value TheoremArticle10.1016/j.chaos.2018.10.0102-s2.0-85054829505