Mohammed, Pshtiwan OthmanBaleanu, DumitruO'Regan, DonalBaleanu, DumitruHamed, Y. S.Elattar, Ehab E.Matematik2024-02-292024-02-292022Mohammed, Pshtiwan Othman;...et.al. (2022). "Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions", Mathematical Biosciences and Engineering, Vol.19, No.7, pp.7272-7283.1551-0018https://doi.org/10.3934/mbe.2022343Mohammed, Pshtiwan/0000-0001-6837-8075; Elattar, Ehab/0000-0002-3966-2584We study the monotonicity method to analyse nabla positivity for discrete fractional operators of Riemann-Liouville type based on exponential kernels, where ((CFR)(c0)del F-theta)(t) > -epsilon Lambda(theta - 1) (del F)(c(0) + 1) such that (del F)(c(0) + 1) >= 0 and epsilon > 0. Next, the positivity of the fully discrete fractional operator is analyzed, and the region of the solution is presented. Further, we consider numerical simulations to validate our theory. Finally, the region of the solution and the cardinality of the region are discussed via standard plots and heat map plots. The figures confirm the region of solutions for specific values of epsilon and theta.eninfo:eu-repo/semantics/openAccessDiscrete Fractional CalculusCaputo-Fabrizio Fractional DifferenceNabla PositivityNumerical AnalysisArticle1977272728310.3934/mbe.20223432-s2.0-85130758261WOS:00080044790000735730306Q2Q2