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Fractional Calculus

Fractional calculus in chemical engineering - from mathematics, to underlying physics, to aplications

Fractional calculus in chemical engineering - from mathematics, to underlying physics, to aplications

... of fractional calculus and its potential applications in the field of chemical en- gineering basic ...a fractional order reality governing transport pro- ...

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Fractional calculus applied to model arterial viscoelasticity

Fractional calculus applied to model arterial viscoelasticity

... Recently, fractional order deriva- tives were used to conceive a new component called spring-pot that interpolates between pure elastic and viscous ...the fractional model in human arterial ...1%. ...

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Investigación Cálculo Fraccionario y dinámica newtoniana Fractional Calculus and newtonian dynamics

Investigación Cálculo Fraccionario y dinámica newtoniana Fractional Calculus and newtonian dynamics

... Lo que se pretende con este apartado es realizar un análisis del movimiento pendular enfocado desde la óptica más extensa del Cálculo Fraccionario, y para ello se va a generalizar la ide[r] ...

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Fractional stochastic heat equation on the Half-Line

Fractional stochastic heat equation on the Half-Line

... years, fractional partial differential equations have been highly attractive to physicians, mathematicians, engineers, biologists, among ...a fractional order Brownian model ...

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ECUACIÓN FRACCIONARIA DE BURGERS NO NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION

ECUACIÓN FRACCIONARIA DE BURGERS NO NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION

... Keywords: Burgers equation, fractional calculus. 1. Introducci´ on Desde su introducci´ on en 1939 por el cient´ıfico Dan´ es J.M. Burgers, la ecuaci´ on de Burgers, constituye el modelo no lineal m´ as ...

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k-Fractional trigonometric functions

k-Fractional trigonometric functions

... The extension to fractional calculus of the exponential function carries with it the extension of trigonometric functions. It may be seen the elementary presentation (c.f.[1]) and the very interesting one ...

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The k-fractional logistic equation with k-caputo derivative

The k-fractional logistic equation with k-caputo derivative

... Generalizations of the classical Gamma function and the Pochhammer’s sym- bol were introduced by Diaz and Pariguan [1].Since then has appeared a sig- nificant number of papers extended definitions of fractional ...

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Bayesian analysis for a fractional population growth model

Bayesian analysis for a fractional population growth model

... a fractional population growth model, defined in Section ...the fractional model proposed and we make a comparison between two different models, based on Bayes ...

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Classical solutions for a logarithmic fractional diffusion equation

Classical solutions for a logarithmic fractional diffusion equation

... example [1]. The proof of this result is based on the famous analogous estimate for the case of bounded domains due to Trudinger [29], later improved by Moser, [17]. Fractional Sobolev spaces. Let 1 ≤ q < ∞, 0 ...

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Fractional type integral operators of variable order

Fractional type integral operators of variable order

... the fractional Hardy– Littlewood maximal operator on the variable Lebesgue spaces; see Theorem 1 and Theorem 2 below and references ...operators, fractional type operators, and Riesz ...

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Detailed error analysis for a fractional Adams method

Detailed error analysis for a fractional Adams method

... Our belief in the truth of this onje ture is not only supported by the numeri al results but also by the results of de Hoog and Weiss [9, x5℄ who show that asymp- toti expansions of th[r] ...

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A Toolbox with DERIVE: Calculus on Several Variables

A Toolbox with DERIVE: Calculus on Several Variables

... Sólo tenemos que conocer que el vector característico del plano tangente a una superficie expresada en forma implícita tiene por componentes. (fx,fy,fz) , es decir el vector gradiente d[r] ...

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CALCULUS OF VARIATIONS MA 4311 LECTURE NOTES

CALCULUS OF VARIATIONS MA 4311 LECTURE NOTES

... the calculus of variations because the properties char- acterizing their solutions are familiar ones which illustrate very well many of the general principles common to all of the problems suggested ...

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Simple method for estimating the fractional Raman contribution

Simple method for estimating the fractional Raman contribution

... authors have used the work in Ref. [13] to fit the Raman gain and response for different fiber types, including the estimation of the fractional electronic contribution. For instance, Yan et al. [14] estimated ...

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Optimized reduction of spur tones in fractional frequency synthesizers

Optimized reduction of spur tones in fractional frequency synthesizers

... in fractional frequency synthesizers is ...for fractional frequency synthesiz- ers is ...on-chip fractional synthesizer manufactured in CMOS ...

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Structured coalgebras and minimal HD-automata for the π-calculus

Structured coalgebras and minimal HD-automata for the π-calculus

... x and y in ¯xx.0 + ¯yy.0 when + is commutative. Interestingly, no restriction operation (or reversed N-quantification, as in [15]) is needed in the algebra, since its effect will be obtained by suitable name permutations ...

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ENTRAINMENT FACTOR OF INDIVIDUAL GLITCH FRACTIONAL MOMENT OF INERTIA

ENTRAINMENT FACTOR OF INDIVIDUAL GLITCH FRACTIONAL MOMENT OF INERTIA

... The superfluid in the inner crust of a neutron star is assumed to be the reser- voir of momentum released in a pulsar glitch. Recently, due to crustal entrainment, it appears debatable whether the magnitude of the inner ...

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An the new riemann liouville fractional operator extended

An the new riemann liouville fractional operator extended

... Abstract: In this paper we will introduce a new and modified Riemann-Liouville fractional operator that resulted from modifying the extended fractional derivative due to M. Ozarslan ([5]). We will study ...

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Privacy calculus: Factors that influence the perception of benefit

Privacy calculus: Factors that influence the perception of benefit

... privacy calculus assumes a rational behaviour of the individual; this implies that it is able to independently assign a value to risk and potential benefit and then compare them (Keith; Babb; Lowry, ...privacy ...

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