Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences

In 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.