Abstract
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.
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