In this paper the primary resonance of Duffing oscillator with fractional-order derivative is
researched by the averaging method. At first the approximately analytical solution and the …

Slow convergence and low accuracy are two main drawbacks in nonlinear system
identification methods. It becomes more complicated when time delay and noises are …

An analytical formulation combined with a fractional-order time derivative damping model
has been developed to conduct a comprehensive study on the large amplitude free and …

In the two last decades, several research works proposed adaptive sliding mode control
(SMC) algorithms to deal with fractional-order chaotic systems for control and …

In this paper, the primary resonance of Duffing oscillator with two kinds of fractional-order
derivatives is investigated analytically. Based on the averaging method, the approximately …

By considering the Caputo fractional derivative and Riemann-Liouville integral, in the
present work, we are concerned with a nonlinear sequential fractional differential system of …

In this paper the primary resonance of van der Pol (VDP) oscillator with fractional-order
derivative is studied analytically and numerically. At first the approximately analytical …

We investigate the dynamics of three ring-coupled double-well Duffing oscillators modelled
by fractional-order differential equations. The analysis of time series, Fourier spectra, phase …

In this paper, a fractional order differential system for modeling human T-cell lymphotropic
virus I (HTLV-I) infection of CD4+ T-cells is studied and its approximate solution is presented …

The phenomenon of vibrational resonance (VR) is investigated in over-and under-damped
Duffing systems with fractional-order damping. It is found that the factional-order damping …