In this paper, we do not separate the complex-valued neural networks into two real-valued
systems, the quasi-projective synchronization and complete synchronization of 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 …

Robust stability problem of discrete-time fractional-order systems (DTFOSs) with interval
uncertainties is investigated in this paper. Firstly, a new theorem for matrix root-clustering in …

In this paper, the discrete fractional-order Halanay inequality with distributed delays is
introduced. Then, based on the generalized discrete fractional Halanay inequality and …

This paper is concerned with the stability of the fractional order h-difference systems. The
definition of Mittag-Leffler stability is introduced, and the sufficient conditions are presented …

In this paper, we improve the averaging theory on both finite and infinite time intervals for
discrete fractional-order systems with impulses. By employing new techniques, generalized …

Full article: A generalized h-fractional Gronwall's inequality and its applications for nonlinear
h-fractional difference systems with ‘maxima’ Skip to Main Content Taylor and Francis Online …

This paper presents some new propositions related to the fractional order $ h $-difference
operators, for the case of general quadratic forms and for the polynomial type, which allow …

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 Hyers-Ulam stability and generalized Hyers-Ulam stability of sequential
fractional order h-difference equations are investigated using the open mapping theorem …