scholarly journals A Fractional-Order Model of COVID-19 considering the Fear Effect of the Media and Social Networks on the Community

2021 ◽  
pp. 111403
Author(s):  
Fatma Bozkurt ◽  
Ali Yousef ◽  
Thabet Abdeljawad ◽  
Adem Kalinli ◽  
Qasem Al Mdallal
Keyword(s):  
Social Networks ◽  
Fractional Order ◽  
Order Model ◽  
Fear Effect ◽  
Fractional Order Model ◽  
The Media

scholarly journals The hunting cooperation of a predator under two prey's competition and fear-effect in the prey-predator fractional-order model

2022 ◽  
Vol 7 (4) ◽  
pp. 5463-5479
Author(s):  
Ali Yousef ◽  
◽  
Ashraf Adnan Thirthar ◽  
Abdesslem Larmani Alaoui ◽  
Prabir Panja ◽  
...  
Keyword(s):  
Fractional Order ◽  
Equation System ◽  
Order System ◽  
Differential Equation System ◽  
Order Model ◽  
Predator Prey ◽  
Fear Effect ◽  
Fractional Order Model ◽  
Prey Interaction ◽  
The Stability

<abstract><p>This paper investigates a fractional-order mathematical model of predator-prey interaction in the ecology considering the fear of the prey, which is generated in addition by competition of two prey species, to the predator that is in cooperation with its species to hunt the preys. At first, we show that the system has non-negative solutions. The existence and uniqueness of the established fractional-order differential equation system were proven using the Lipschitz Criteria. In applying the theory of Routh-Hurwitz Criteria, we determine the stability of the equilibria based on specific conditions. The discretization of the fractional-order system provides us information to show that the system undergoes Neimark-Sacker Bifurcation. In the end, a series of numerical simulations are conducted to verify the theoretical part of the study and authenticate the effect of fear and fractional order on our model's behavior.</p></abstract>

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.

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