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. (C) 2018 Elsevier Ltd. All rights reserved.