Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

D Kumar, AR Seadawy, AK Joardar - Chinese journal of physics, 2018 - Elsevier
In this study, the modified Kudryashov method is used to construct new exact solutions for
some conformable fractional differential equations. By implementing the conformable …

On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative

YY Feng, XJ Yang, JG Liu - Chinese Journal of Physics, 2020 - Elsevier
The primary purpose of this paper is to analyze the overall behavior of fractional Maxwell
model. The approach used in our study is known as the combined Caputo fractional …

Stability analysis, chaos control of a fractional order chaotic chemical reactor system and its function projective synchronization with parametric uncertainties

VK Yadav, S Das, BS Bhadauria, AK Singh… - Chinese Journal of …, 2017 - Elsevier
In this article, the stability analysis, chaos control and function projective synchronization
between a fractional order chaotic chemical reactor system and a chaotic chemical reactor …

Generalized stochastic resonance in a time-delay fractional oscillator with damping fluctuation and signal-modulated noise

L Lin, T Lin, R Zhang, H Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we propose a time-delayed fractional oscillator (FO) subjected to damping
fluctuation and signal-modulated noise, and investigate the generalized stochastic …

Stability analysis, dynamical behavior and analytical solutions of nonlinear fractional differential system arising in chemical reaction

S Sarwar, S Iqbal - Chinese journal of physics, 2018 - Elsevier
In chemical reaction process, mathematical modeling of certain experiments lead to
Brusselator system of equations. In this article, the dynamical behaviors of reaction …

Exact solutions to fractional Drinfel'd–Sokolov–Wilson equations

S Chen, Y Liu, L Wei, B Guan - Chinese journal of physics, 2018 - Elsevier
In this paper, the complete discrimination system for polynomial method is applied to retrieve
the exact traveling wave solutions of time-fractional coupled Drinfel'd–Sokolov–Wilson …

Fractional physical differential equations via natural transform

S Rida, A Arafa, A Abedl-Rady… - Chinese journal of physics, 2017 - Elsevier
Analytical exact solutions of fractional physical differential equations were obtained
successfully via the natural transform method. The fractional derivatives are described in the …

[HTML][HTML] Stochastic resonance of two coupled fractional harmonic oscillators in Jerk equation

H Li, G He, Y Qin, J Yang, Y Peng - Results in Physics, 2023 - Elsevier
The stochastic resonance (SR) phenomenon in two coupled fractional harmonic oscillators
with inherent frequency, employing the Jerk equation under the influence of multiplicative …

The adaptive bearing fault diagnosis based on optimal regulation of generalized SR behaviors in fluctuating-damping induced harmonic oscillator

K Chen, Y Lu, R Zhang, H Wang - Mechanical Systems and Signal …, 2023 - Elsevier
Stochastic resonance (SR) has been widely used in bearing fault diagnosis due to the noise-
assisted enhancement principle of weak fault signal. The purpose of this paper is to cast off …

Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise

F Guo, X Wang, M Qin, X Luo, J Wang - Physica A: Statistical Mechanics …, 2021 - Elsevier
The stochastic resonance (SR) phenomenon for a nonlinear system with fractional derivative
driven by multiplicative and additive noise is investigated. Applying the generalized …