The paper investigates control and synchronization of fractional-order maps described by
the Caputo h-difference operator. At first, two new fractional maps are introduced, ie, the Two …

The concepts of local controllability and observability of nonlinear discrete-time systems with
the Caputo-, Riemann–Liouville-and Grünwald–Letnikov-type h-difference fractional order …

This paper deals with the synchronization of fractional-order chaotic discrete-time systems.
First, some new concepts regarding the output-memory observability of non-linear fractional …

The paper presents a new definition of nabla fractional-order difference, equivalent to the
Grünwald-Letnikov difference. The difference is based on the general approach of …

This PhD thesis deals with fractional Hardy-type inequalities and some new Hardy-type
inequalities for the Hardy operator and Riemann-Liouville fractional integral operator and …

The focus of the paper are accessibility (in a finite number of steps) conditions for nonlinear
control systems with the Grünwald-Letnikov fractional order h-difference operator. These …

The problem of controllability to a given convex target set of linear fractional systems with h‐
difference fractional operator of Caputo type is studied. Necessary and sufficient conditions …

We investigate the power weights fractional order Hardy-type inequality in the following
form:(Equation presented) for 0< α< 1 and 1< p<∞ in fractional h-discrete calculus, where …

In this paper, controllability and observability matrices for pseudo upper or lower triangular
multi-order fractional systems are derived. It is demonstrated that these systems are …

Discrete-time polynomial control systems described by the Grünwald-Letnikov h-type
difference operator are considered. For this class of systems the observability problem is …