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Fractional randomness (Q1619960)

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scientific article; zbMATH DE number 6978485

Language	Label	Description	Also known as
English	Fractional randomness	scientific article; zbMATH DE number 6978485

Statements

scholarly article

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Fractional randomness (English)

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Charles S. Tapiero

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publication date

13 November 2018

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zbMATH Keywords

fractional calculus

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randomness

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modeling

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finance

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statistics

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Hurst index

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.physa.2016.05.053

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Generalized autoregressive conditional heteroscedasticity

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Long memory processes and fractional integration in econometrics

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AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING

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Fractional Brownian Motions, Fractional Noises and Applications

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On the range of Brownian motion and its inverse process

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Run length statistics and the Hurst exponent in random and birth-death random walks.

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Range reliability in random walks

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A class of fractional stochastic differential equations

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Fractional geometric mean-reversion processes

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Fractional stochastic differential equations with applications to finance

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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Fractional Poisson process

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Computational Methods in the Fractional Calculus of Variations

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EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS

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Applications of fractional calculus in physics

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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The space-fractional Poisson process

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On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)

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On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion

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Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results

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New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations

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Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions

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Fractional multiple birth-death processes with birth probabilities \(\lambda _i(\Delta t)^\alpha +o((\Delta t)^\alpha)\)

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSA.2016.05.053

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Sitelinks

Mathematics(1 entry)

mardi Publication:1619960

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