The discrete analysed fractional operator technique was employed to demonstrate positive
findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional …

In this paper, we give a new method to show the monotonicity results for a function f
satisfying (a∇ h ν f)(t)≤ 0 (or (a∇ h,∗ ν f)(t)≤ 0) with ν∈(0, 1], which has never been solved …

This work aims to present a study on the stability analysis of linear and nonlinear
incommensurate h-nabla fractional-order difference systems. Several theoretical results are …

We consider positivity, monotonicity, and convexity results for discrete fractional operators
with exponential kernels. Our results cover both the sequential and nonsequential cases …

We consider conditions under which the positivity of a fractional difference implies either
positivity, monotonicity, or convexity, and we consider both the non‐sequential and …

We investigate the relationship between the sign of the discrete fractional sequential
difference (Δ v 1+ a-μ Δ a μ f)(t) and the monotonicity of the function t→ f (t). More precisely …

On fractional Hahn calculus | Advances in Continuous and Discrete Models Skip to main content
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …

The class of symmetric function interacts extensively with other types of functions. One of
these is the class of positivity of functions, which is closely related to the theory of symmetry …

We investigate the relationship between the sign of the discrete fractional sequential
difference (Δ 1+ a− μ ν Δ a μ f)(t) and the monotonicity of the function t↦ f (t) in the case …

This paper proposes fractional quantum Julia sets based on a fractional q-difference map
and preliminarily investigates their fractal dynamic characteristics by numerical methods and …