Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

Herein, we propose a fractional-order delay differential model for the dynamics of Hepatitis-
C Virus (HCV), with interferon-α (IFN-α) treatment. A fractional-order derivative is considered …

In this work, we introduced the distributed-order neural networks (DONNs) which are the
generalization of integer and fractional orders neural networks. We presented and proved …

For the first time, as we know, the generalization of combination synchronization (GCS) of
chaotic dynamical models with integer, fractional and distributed-orders is studied in this …

In this paper, we introduce three versions of fractional-order chaotic (or hyperchaotic)
complex Duffing-van der Pol models. The dynamics of these models including their fixed …

The main aim of present work is to investigate the dynamics of the chaotic nonlinear
distributed order Lü model (DOLM). The distributed order (DO) derivative is used for …

This paper aims at the analysis of the VdP heartbeat mathematical model. We have
analysed the conditionality of a mathematical model which represents the oscillatory …

In order to avoid high extinction risks of prey and keep the stability of the three-species food
chain model, we introduce a Filippov food chain model (FFCM) with Holling type II under …

In this article, we introduced fractional and distributed order hyperchaotic Lü, Chen and
Lorenz systems with both line and parabola of equilibrium points (EPs). Their dynamics …

In this paper, the bifurcations and chaos dynamics of a hyperjerk system with
antimonotonicity are investigated via the analytical methods and numerical calculations. We …