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Fractional Turbulence Models

2017
In this article we propose to generalize Reynolds shear stresses in local zero-equation turbulence models to nonlocal and fractional forms. In the well-accepted general method, starting with a Kraichnanian convolution-integral as Reynolds shear stress, different weighting functions are possible candidates to serve this purpose; e.g.
Peter W. Egolf, Kolumban Hutter
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Fractional Model Predictive and Adaptive Fractional Model Predictive Controller Design

2020
Recently, model predictive controller design for the FO model of dynamical systems has attracted many researchers. In [1], authors discuss how to design generalized predictive control for a fuel cell using fractional calculus. In [2], authors discuss the designing of switched state MPC for fractional-order discrete-time systems.
Abhaya Pal Singh   +3 more
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Fractional Model for Malaria Disease

Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2013
In this paper we study a fractional order model for malaria transmission. It is considered the integer order model proposed by Chitnis et al [1] and we generalize it up to become a fractional model. The new model is simulated for distinct values of the fractional order.
Pinto, Carla, Tenreiro Machado, J. A.
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Models of Diffuse Solar Fraction

2008
This chapter continues the work of Boland and Scott (1999) and Boland, Scott and Luther (2001) who developed models for some Australian locations using the clearness index and time of day as predictors. More recently, Boland and Ridley (2007) have presented the theoretical basis for a generic model for diffuse radiation, and additionally, a methodology
John Boland, Barbara Ridley
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Stochastic fractional Anderson models with fractional noises

Chinese Annals of Mathematics, Series B, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Yiming, Shi, Kehua, Wang, Yongjin
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Fractional Epidemiological models

This work presents a comprehensive review and comparative study of the transmission dynamics of fractional order in epidemiological modeling. A significant portion of the article is dedicated to the graphical simulation of these models, providing a visual representation of their behavior and characteristics.
Agarwal, Ravi P.   +2 more
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Model order identification for fractional models

2013 European Control Conference (ECC), 2013
This paper deals with continuous-time system identification using fractional differentiation models. So far, no algorithm exists concerning model order identification of fractional models. The “simplified” refined instrumental variable method is proposed to estimate parameters of fractional differential equation models when all the fractional orders ...
Stephane Victor, Rachid Malti
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Fractional Calculus

2011
Fractional calculus: Models and numerical ...
BALEANU D   +3 more
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Mechanical stress relaxation in polymers: fractional integral model versus fractional differential model

Journal of Non-Newtonian Fluid Mechanics, 1993
Abstract Two fractional models for mechanical stress relaxation, one of integral type and the other of differential type, are compared. These models are the fractional integral and fractional differential variants of the standard solid model. The comparison shows that these models lead in general to different rheological behaviors. Only the Cole-Cole
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Gender Fraction Stage Model

2021
The gender perspective is interesting in white-collar crime, as there may be gender differences in motives, opportunities, and willingness. In this chapter, we address the following research question: When half of the population is women, why do women only comprise 6% of the inmates in prison for white-collar crime in Norway?
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