In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

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

New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …

The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …

In this paper, we define left and right Caputo fractional sums and differences, study some of
their properties and then relate them to Riemann–Liouville ones studied before by Miller KS …

In this paper we define the right fractional derivative and its corresponding right fractional
integral with exponential kernel. We provide the integration by parts formula and we use the …

In this manuscript we propose the discrete versions for the recently introduced fractional
derivatives with nonsingular Mittag-Leffler function. The properties of such fractional …

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

Fractional derivatives hold memory effects, and they are extensively used in various real-
world applications. However, they also need large storage space and cause poor efficiency …