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 …

In this paper, an integral inequality and the fractional Halanay inequalities with bounded
time delays in fractional difference are investigated. By these inequalities, the asymptotical …

In this paper, a generalized fractional (q, h)–Gronwall inequality is investigated. Based on
this inequality, the uniqueness theorem and the finite–time stability criterion of nonlinear …

This paper investigates stability of the nabla $(q, h) $-fractional difference equations.
Asymptotic stability of the special nabla $(q, h) $-fractional difference equations are …

Two asymptotic results of solutions for nabla fractional $(q,h)$-difference equations Page 1
Turkish Journal of Mathematics Volume 42 Number 5 Article 11 1-1-2018 Two asymptotic …

This article presents a fractional-order difference observer for a class of nonlinear systems.
To analyse the observer, we establish stability conditions with the Lyapunov's second …

Asymptotic stability of linear nabla Riemann–Liouville (q, h)-fractional difference equation is
investigated in this paper. A Liapunov functional is constructed for the fractional difference …

In this paper, the discrete (q, h)-fractional Bihari inequality is generalized. On the grounds of
inequality, the finite-time stability and uniqueness theorem of solutions of (q, h)-fractional …