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Tsallis Distribution-Based Fractional Derivative Method for Lamb Wave Signal Recovery

Research in Nondestructive Evaluation, 2015
A new fractional derivative method based on the Tsallis distribution function is developed to recover the Lamb wave signals from the noisy Lamb wave signals. After the fractional derivative of the amplitude spectrum of the noisy Lamb signal at different derivative orders, the quartic polynomial function between the peak amplitude and the derivative ...
Xiao Chen, Chenlong Wang
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NEUTRON POINT KINETICS MODEL WITH A DISTRIBUTED-ORDER FRACTIONAL DERIVATIVE

Fractals
In this paper, the solutions of an extended form of the Fractional-order Neutron Point Kinetics (FNPK) equation in terms of Caputo-time derivatives of the same order are investigated. Instead of using a Caputo derivative, a distributed-order fractional derivative in the Caputo sense was employed in the term of the FNPK equation which is multiplied by ...
F. A. GODÍNEZ   +4 more
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The Euler–Lagrange and Legendre equations for functionals involving distributed–order fractional derivatives

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Almeida, M. Luísa Morgado
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Wave simulation in dissipative media described by distributed-order fractional time derivatives

Journal of Vibration and Control, 2010
We develop and solve a dissipative model for the propagation and attenuation of two-dimensional dilatational waves, using a new modeling algorithm based on distributed-order fractional time derivatives. We consider two distributions. The first has n powers of the order of differentiation as the weight function, and the second is based on a generalized
Caputo, Michele, Carcione, José M.
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Fractional derivative applied to the retrieval of phase distribution from an interferogram

Applied Physics B, 2012
This paper proposes a new method for determining the phase distribution of a 2D fringe pattern using 2D fractional derivatives. The fractional derivative of order r (real 0≤r≤3), in the θ direction (θ∈[0,2π]) is defined by the Fourier transform and its inverse and gives as result a phase distribution.
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Nonparametric Estimation of the Fractional Derivative of a Distribution Function

2010
We propose an estimator for the fractional derivative of a distribution function. Our estimator, based on finite differences of the empirical distribution function generalizes the estimator proposed by Maltz for the nonnegative real case. The asymptotic bias, variance and the consistency of the estimator are studied. Finally, the optimal choice for the
Andreea Borla, Costin Protopopescu
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Critical analysis of molecular weight distributions derived from fractionation data. I. Column elution

Journal of Polymer Science Part A: General Papers, 1964
AbstractThe evaluation of broad molecular weight distributions, based on the fractionation data obtained by column elution techniques and the Schulz‐Dinglinger approximation, is critically analyzed employing an electronic computer and a solubility function based on the Flory‐Huggins theory.
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Multiscale nonlocal elasticity: A distributed order fractional formulation

International Journal of Mechanical Sciences, 2022
Wei Ding   +2 more
exaly  

Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain

2014
Bioelectro-mechanical properties of the skin can be very valid data for analyzing fractal characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for characterization of the human skin.
Vosika, Zoran   +4 more
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