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In this paper the artificial neural network (ANN) approximation for fractional neutron point kinetics (FNPK) model and fractional reduced-order model (F-ROM) is presented.
Three widely used models, the Golla–Hughes McTavish model, Generalized Maxwell model and Fractional Derivative model for describing the frequency-dependent property of viscoelastic materials are investigated in order to demonstrate the simplicity, versatility and efficiency of the proposed approach.
Elovich is a two-parametric semi-empirical model, and fractional power (FP), Ritchie second-order, and exponential (EXP) kinetic models are two-parametric empirical models to analyze kinetic data at near to equilibrium.
Based on two period GaoFen-1 images, combined with field survey data, the dimidiate pixel model and fractional vegetation coverage estimation model were applied to detect the changes of local vegetation coverage from July 2013 to July 2015.
The variable-dispersion beta regression model and fractional logit model appear slightly more powerful than the linear regression model when a non-zero difference between groups is present.
Results of this simulation study suggest that the more novel variable-dispersion beta regression model and fractional logit regression model have comparable properties to the traditional linear regression model.
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Also some of interesting nonlinear models and fractional models have been discussed in [30 33].
Also, some of the interesting nonlinear models and fractional models were discussed in [22 35].
Fractional mathematical modeling and fractional differential equations theory arise naturally in applications; see [1 7] and the references given therein.
His main areas of research are functional/delay/abstract differential equations, ecological modeling, and fractional differential equations.
There are some remarkable monographs that provide the main theoretical tools for the qualitative analysis of fractional order differential equations, and at the same time, show the interconnection as well as the contrast between integer order differential models and fractional order differential models [17 24].
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