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As stated in [16, 17], fractional differentiation usually needs an initialization to avoid long range memory phenomenon, so one should use (Z_{C} omega,0)) to initialize Caputo derivative.
On the other hand, a process used frequently in the literature is fractional Brownian motion (B^{H}={ B_{t}^{H}, tge0}) due to the wide range of properties it has, such as long range memory (when the Hurst parameter H is greater than one half) and intermittency (when (H<1/2)).
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In this paper we study the von Kármán plate model with long-range memory.
Novel tools used in this paper include sub-Gaussian concentration theory via the Malliavin calculus, detailed analyses of the long-range memory of fractional Brownian motion, and an almost-superadditivity property.
Self-similar stochastic processes with long range dependence (or long memory) are important aspect of stochastic models in various scientific areas, such as econometrics, network traffic analysis, hydrology, telecommunications, and so on.
A stationary process with slowly decaying correlations is referred to as a stationary process with long memory or long range dependence.
Jamie Walker levels with long range effort.
long range electron transfer.
Long range evolution.
long range SPs.
It's long range".
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