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Fractional Calculus and Applied Analysis, 2019
The first fractional model for Reynolds stresses in wall-bounded turbulent flows was proposed by Wen Chen [2]. Here, we extend this formulation by allowing the fractional order α(y) of the model to vary with the distance from the wall (y) for turbulent ...
Pavan Mehta +3 more
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The first fractional model for Reynolds stresses in wall-bounded turbulent flows was proposed by Wen Chen [2]. Here, we extend this formulation by allowing the fractional order α(y) of the model to vary with the distance from the wall (y) for turbulent ...
Pavan Mehta +3 more
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A computational study of fractional model of atmospheric dynamics of carbon dioxide gas
, 2020In this paper, a fractional order nonlinear mathematical model describing the dynamics of atmospheric concentration of CO2 is investigated and studied through the application of a semi-analytical homotopy scheme combined with Sumudu transform and ...
V. Dubey +3 more
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Modelling One-Dimensional Fractional Impact Using Basic Fractional Viscoelastic Models
Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2016Viscoelastic materials can be mathematically represented using integer- or order models. It has been shown in different studies that modeling a viscoelastic material usually requires an enormous number of parameters. Fractional viscoelastic models have been shown to be advantageous over integer viscoelastic models in the representation of viscoelastic ...
Arman Dabiri +2 more
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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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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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Journal of Computational and Nonlinear Dynamics, 2020
The aim of the present investigation to find the solution for fractional generalized Hirota–Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations with the aid of an efficient computational scheme, namely, fractional natural ...
P. Veeresha +4 more
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The aim of the present investigation to find the solution for fractional generalized Hirota–Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations with the aid of an efficient computational scheme, namely, fractional natural ...
P. Veeresha +4 more
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Fractional Model Predictive and Adaptive Fractional Model Predictive Controller Design
2020Recently, 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, 2013In 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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Fractional model for simulating the viscoelastic behavior of artificial fracture in shale gas
, 2020With the development of geothermal energy and unconventional reservoirs, shales have become the popular target formation. This kind of organic-rich or clay-rich geomaterial has significant viscoelastic behavior which may lead to severe accidents, due to ...
Yu Peng +3 more
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Models of Diffuse Solar Fraction
2008This 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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A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
Journal of Computational and Applied Mathematics, 2017The key purpose of the present work is to constitute a numerical algorithm based on fractional homotopy analysis transform method to study the fractional model of Lienard’s equations. The Lienard’s equation describes the oscillating circuits.
Devendra Kumar, R. Agarwal, Jagdev Singh
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