Fractional-order discrete-time neural networks represent a class of discrete systems
described by non-integer order difference operators. Even though the stability of these …

Few papers have been published to date regarding the stability of neural networks
described by fractional difference operators. This paper makes a contribution to the topic by …

Variable-order fractional discrete models are dynamical systems described by non-integer
order difference equations where the fractional order changes over discrete-time. This paper …

In this paper, finite-time stability of fractional delay difference equations with discrete Mittag-
Leffler kernel are studied. Firstly, we establish a new generalized Gronwall inequality in …

Variable-order fractional discrete calculus is a new and unexplored part of calculus that
provides extraordinary capabilities for simulating multidisciplinary processes. Recognizing …

In this paper, we study the first comparison theorem and the second comparison theorem of
Caputo (and Riemann–Liouville) tempered fractional differential equations with …

In this article, the fractional-order differential equation of particle sedimentation was
obtained. It considers the Basset force's fractional origin and contains the Riemann–Liouville …

In this paper, firstly, a new discrete delayed Mittag–Leffler matrix function is introduced,
which generalizes the existing discrete delayed exponential matrix function. Secondly …

A new discrete fractional-order Peano-Baker series is established in this paper. Based on
this series, the explicit solutions of Caputo linear discrete fractional-order equations (DFOEs) …

In this article, an explicit solution of the homogeneous fractional delay oscillation difference
equation of order 1< ι< 2 1&lt; ι &lt; 2 is given by constructing discrete sine‐and cosine‐type …