The main aim of this paper is to analyze the modified epidemiological Susceptible-Infected-
Removed model including an antidotal population compartment A (SIRA). The fractional …

Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

In this paper, we consider fractional-order gene regulatory networks. The impulsive effects
on their Mittag-Leffler stability properties are investigated and new criteria are proposed. The …

Fractional-order spiking neuron models can enrich model flexibility and dynamics due to the
extra degrees of freedom. This paper aims to study the effects of applying four different …

The fractional calculus in the neuronal models provides the memory properties. In the
fractional‐order neuronal model, the dynamics of the neuron depends on the derivative …

In this work, we studied the dynamics of a chaotic neural network using the fractional-
conformable operator and non-integer order derivatives. We first systematically show the …

In this paper, we study the impact of fractional derivation on the symmetry-breaking
dynamics of a network of coupled fractional-order Stuart-Landau oscillators. It is found that …

We study networks of coupled oscillators whose local dynamics are governed by the
fractional-order versions of the paradigmatic van der Pol and Rayleigh oscillators. We show …

The rich dynamics of a system comprising of a Type-I neuron coupled to a Type-II neuron via
an electrical synapse (gap junction) are explored in this paper. Diverse dynamical behaviour …

In this work, a set of nonlinear equations capable of describing the transit of the membrane
potential's spiking-bursting process which is shown in experiments with a single neuron was …