Abstract Functional differential equations have been widely used for modeling real-world
phenomena in distinct areas of science. However, classical calculus can not provide always …

Fractional differential equations have become a fundamental modelling approach for
understanding and simulating the many aspects of non-locality and spatial heterogeneity of …

Fractional differential equations have been adopted for modeling many real-world problems,
namely those appearing in biological systems since they can capture memory and …

The occurrence of atrial fibrillation (AF), one of the most socially significant arrhythmias, is
associated with the presence of areas of fibrosis. Fibrosis introduces conduction …

Cardiac arrhythmias are a major cause of cardiovascular mortality worldwide. Many
arrhythmias are caused by reentry, a phenomenon where excitation waves circulate in the …

A numerical approach for solving the variable-order fractional Fokker-Planck equation (VO-
FFPE) is proposed. The computational scheme is based on the shifted Legendre Gauss …

We extend the definition of n-dimensional difference equations to complex order. We
investigate the stability of linear systems defined by an n-dimensional matrix and derive the …

Cardiac electrophysiology modeling deals with a complex network of excitable cells forming
an intricate syncytium: the heart. The electrical activity of the heart shows recurrent spatial …

This paper focuses on the stability analysis of the incommensurate fractional-order systems
describing by the pseudo-state-space form in the presence of interval uncertainties. By using …

Atrial fibrillation (AF) underlies disordered spatiotemporal electrical activity, that increases in
complexity with the persistence of the arrhythmia. It has been hypothesized that a specific …