In this paper, a three-dimensional fractional-order (FO) discrete Hopfield neural network
(FODHNN) in the left Caputo discrete delta's sense is proposed, the dynamic behavior and …

The Caputo‐, Riemann‐Liouville‐, and Grünwald‐Letnikov‐type difference initial value
problems for linear fractional‐order systems are discussed. We take under our consideration …

Discrete fractional calculus is suggested to describe neural networks with memory effects.
Fractional discrete-time recurrent neural network is proposed on an isolated time scale …

This study investigates Caputo–Hadamard fractional differential equations on time scales.
The Hadamard fractional sum and difference are defined for the first time. A general …

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

The paper describes the stability area for the difference system (Δαy)(n+ 1− α)= Ay (n), n= 0,
1,..., with the Caputo forward difference operator Δα of a real order α∈(0, 1) and a real …

This work explores the effect of second order slip on magnetohydrodynamic (MHD) flow of a
fractional Maxwell fluid on a moving plate and a comparison between two numerical …

In the fractional calculus, one of the main challenges is to find suitable models which are
properly described by discrete derivatives with memory. Fractional Logistic map and …

Fractional derivatives with memory effects have been widely used in image processing. This
study investigates a discrete analogy of tempered fractional calculus on an isolated time …

This study defines a Hadamard fractional sum by use of the time-scale theory. Then ah-
fractional difference is given and fundamental theorems are proved. Initial value problems of …