A new nonlinear duffing system with sequential fractional derivatives

M Bezziou, I Jebril, Z Dahmani - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …

[PDF][PDF] Solvability for a differential system of Duffing type via Caputo-Hadamard approach

M Bezziou, Z Dahmani, I Jebril… - Appl. Math. Inf …, 2022 - naturalspublishing.com
In this work, we investigate a new sequential coupled differential system of Duffing type. The
considered system involves Caputo Hadamard derivatives. Based on both Banach …

Application of van der Pol–Duffing oscillator in weak signal detection

Z Zhihong, Y Shaopu - Computers & Electrical Engineering, 2015 - Elsevier
This study presents a new weak signal detection method based on the van der Pol–Duffing
oscillator. The principle of the proposed method is described. A weak signal is detected …

Unique solutions, stability and travelling waves for some generalized fractional differential problems

M Rakah, Y Gouari, RW Ibrahim… - … in Science and …, 2023 - Taylor & Francis
The type of symmetry exhibited by a travelling wave can have important implications for its
behaviour and properties, such as its polarization, dispersion, and interactions with other …

[PDF][PDF] Application of fractional calculus on a new differential problem of duffing type

Y Gouari, Z Dahmani, I Jebril - Advances in Mathematics: Scientific …, 2020 - academia.edu
In this paper, we study a new nonlinear sequential fractional differential problem of Duffing
oscillator type. The considered problem involves two fractional order operators: Riemann …

On the simulations of second-order oscillatory problems with applications to physical systems

LJ Kwari, J Sunday, JN Ndam, A Shokri, Y Wang - Axioms, 2023 - mdpi.com
Second-order oscillatory problems have been found to be applicable in studying various
phenomena in science and engineering; this is because these problems have the …

New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type

A Abdelnebi, Z Dahmani - Mathematics, 2022 - mdpi.com
The subject of this paper is the existence, uniqueness and stability of solutions for a new
sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo …

Study of weak periodic signals in the EEG signals and their relationship with postsynaptic potentials

M Akilli, N Yilmaz - IEEE Transactions on Neural Systems and …, 2018 - ieeexplore.ieee.org
In this paper, weak periodic signals detected in the EEG signals were analyzed for each
region of the brain, and its relationships with postsynaptic potentials were investigated. For …

High resolution time-frequency representation for chirp signals using an adaptive system based on duffing oscillators

AH Costa, R Enríquez-Caldera, M Tello-Bello… - Digital Signal …, 2016 - Elsevier
This paper presents a novel methodology to estimate the frequency shift in chirp signals with
SNRs as low as− 17 dB through the use of an adaptive array of Duffing oscillators. The …

Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities

Y Gouari, Z Dahmani, MM Belhamiti… - … Mountain Journal of …, 2023 - projecteuclid.org
We study a new problem of nonlinear integrodifferential equations with nonlocal integral
conditions. The considered problem is singular at the origin of the time axis and it involves …