This study investigates stability of Caputo delta fractional difference equations. Solutions'
monotonicity and asymptotic stability of a linear fractional difference equation are discussed …

Discrete memory effects are introduced by fractional difference operators. Asymptotic
stabilities of nonlinear fractional difference equations are investigated in this paper. A linear …

This study investigates finite-time stability of Caputo delta fractional difference equations. A
generalized Gronwall inequality is given on a finite time domain. A finite-time stability …

There are a few different ways to extend regular nonlinear dynamical systems by introducing
power-law memory or considering fractional differential/difference equations instead of …

In this paper, we propose a method to calculate asymptotically period two sinks and define
the range of stability of fixed points for a variety of discrete fractional systems of the order 0< …

This paper focuses on the problem of stability analysis for Riemann–Liouville nabla
fractional order systems. On one hand, a useful comparison principle is built and then a …

Dynamics of fractional (with power-law memory) nonlinear systems may demonstrate
features, which are fundamentally different from behavior of regular (memoryless) nonlinear …

A Riesz difference is defined by the use of the Riemann–Liouville differences on time scales.
Then the definition is considered for discrete fractional modelling. A lattice fractional …

In fractional dynamics, as in regular dynamics, discrete maps can be used to investigate
general properties of dynamical systems. Maps with power-law memory related to fractional …

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 …