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

Iyad Suwan, Thabet Abdeljawad and Fahd Jarad

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 50-59

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.

Keywords: Nabla h−discrete version of Mittag-Leffler (h−ML); R-L h−fractional difference; Caputo h−fractional difference; h−fractional Mean Value Theorem (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:50-59

DOI: 10.1016/j.chaos.2018.10.010

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