Mohammed, Pshtiwan OthmanSrivastava, H.M.Baleanu, DumitruJan, RashidAbualnaja, Khadijah M.2022-11-012022-11-0120222022Mohammed, P., Srivastava, H., Baleanu, D., Jan, R., & Abualnaja, K. (2022). “Monotonicity results for nabla Riemann-Liouville fractional differences.” Mathematics, 10(14), 2433. https://doi.org/10.3390/math10142433https://doi.org/10.3390/math10142433http://hdl.handle.net/1828/14369Positivity analysis is used with some basic conditions to analyse monotonicity across all discrete fractional disciplines. This article addresses the monotonicity of the discrete nabla fractional differences of the Riemann–Liouville type by considering the positivity of (RL b0 ∇^θ g) (z) combined with a condition on g(b0 + 2), g(b0 + 3) and g(b0 + 4), successively. The article ends with a relationship between the discrete nabla fractional and integer differences of the Riemann–Liouville type, which serves to show the monotonicity of the discrete fractional difference (RL b0 ∇^θ g)(z).endiscrete fractional calculusdiscrete nable Riemann-Liouville fractional differencesmonotonicity analysisArticleDepartment of Mathematics and Statistics