scholarly journals FRACTIONAL ORDER MODEL FOR THE CORONAVIRUS (COVID-19) IN WUHAN, CHINA

Fractals ◽  
2021 ◽  
pp. 2240007
Author(s):  
SAHIBZADA WASEEM AHMAD ◽  
MUHAMMAD SARWAR ◽  
GUL RAHMAT ◽  
KAMAL SHAH ◽  
HIJAZ AHMAD ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Nonlinear Analysis ◽  
Fractional Order ◽  
Numerical Approximation ◽  
Arbitrary Order ◽  
Existence Theory ◽  
Order Derivative ◽  
Suggested Model ◽  
Order Model ◽  
Fractional Order Model

In this paper, the mathematical modeling of five different classes for coronavirus disease-19 (COVID-19) is considered using the fractional arbitrary order derivative in Atangana–Baleanu sense. We use nonlinear analysis for the existence theory of the solution for the suggested model. Additionally, the modified Adam–Bashforth method is used for the numerical approximation of the assumed model. Finally, we simulate the results for 100 days with the help of data from the literature to display the excellency of the suggested model.

scholarly journals Existence theory and numerical simulation of HIV-I cure model with new fractional derivative possessing a non-singular kernel

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Aliyu Isa Aliyu ◽  
Ali Saleh Alshomrani ◽  
Yongjin Li ◽  
Mustafa Inc ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Numerical Technique ◽  
Research Work ◽  
Approximate Solutions ◽  
Existence Theory ◽  
Double Precision ◽  
Order Model ◽  
Invariant Region ◽  
Fractional Order Model

Abstract In this research work, a mathematical model related to HIV-I cure infection therapy consisting of three populations is investigated from the fractional calculus viewpoint. Fractional version of the model under consideration has been proposed. The proposed model is examined by using the Atangana–Baleanu fractional operator in the Caputo sense (ABC). The theory of Picard–Lindelöf has been employed to prove existence and uniqueness of the special solutions of the proposed fractional-order model. Further, it is also shown that the non-negative hyper-plane $\mathbb{R}_{+}^{3}$ R + 3 is a positively invariant region for the underlying model. Finally, to analyze the results, some numerical simulations are carried out via a numerical technique recently devised for finding approximate solutions of fractional-order dynamical systems. Upon comparison of the numerical simulations, it has been demonstrated that the proposed fractional-order model is more accurate than its classical version. All the necessary computations have been performed using MATLAB R2018a with double precision arithmetic.

scholarly journals A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

2021 ◽  
Vol 146 ◽  
pp. 110859
Author(s):  
Ahmed Boudaoui ◽  
Yacine El hadj Moussa ◽  
Zakia Hammouch ◽  
Saif Ullah
Keyword(s):  
Fractional Order ◽  
The Novel ◽  
Order Model ◽  
Fractional Order Model ◽  
Novel Coronavirus

Chaos Suppression in Fractional order Permanent Magnet Synchronous Generator in Wind Turbine Systems

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Dynamic Properties ◽  
Synchronous Generator ◽  
Adaptive Controller ◽  
Control Technique ◽  
Order Model ◽  
Permanent Magnet Synchronous Generator ◽  
Chaos Suppression ◽  
Fractional Order Model

AbstractIn this paper we investigate the control of three-dimensional non-autonomous fractional-order uncertain model of a permanent magnet synchronous generator (PMSG) via a adaptive control technique. We derive a dimensionless fractional order model of the PMSM from the integer order presented in the literatures. Various dynamic properties of the fractional order model like eigen values, Lyapunov exponents, bifurcation and bicoherence are investigated. The system chaotic behavior for various orders of fractional calculus are presented. An adaptive controller is derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the robust controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results derived through which we show that for the derived adaptive controller and the parameter update law, the origin of the system for any bounded initial conditions is asymptotically stable.

scholarly journals Identification of a PEMFC fractional order model

2017 ◽  
Vol 42 (2) ◽  
pp. 1499-1509 ◽  
Author(s):  
Miassa Amira Taleb ◽  
Olivier Béthoux ◽  
Emmanuel Godoy
Keyword(s):  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model

A fractional-order model for MINMOD Millennium

2015 ◽  
Vol 262 ◽  
pp. 36-45 ◽  
Author(s):  
Yongjin Cho ◽  
Imbunm Kim ◽  
Dongwoo Sheen
Keyword(s):  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model
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