Results 51 to 60 of about 37,570 (330)
Crossover dynamics of climate change models: Numerical simulations
Alexandria Engineering Journal, 2023 In this paper, two new climate change mathematical models are extended using the stochastic-deterministic piecewise hybrid fractional derivatives, where the hybrid fractional order operator is applied to extend the deterministic model and the fractional ...
N.H. Sweilam +4 more
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Fractional Brownian fields, duality, and martingales
, 2006 In this paper the whole family of fractional Brownian motions is constructed as a single Gaussian field indexed by time and the Hurst index simultaneously. The field has a simple covariance structure and it is related to two generalizations of fractional
Dobrić, Vladimir, Ojeda, Francisco M.
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A Set-indexed Fractional Brownian Motion [PDF]
Journal of Theoretical Probability, 2006 We define and prove the existence of a fractional Brownian motion indexed by a collection of closed subsets of a measure space. This process is a generalization of the set-indexed Brownian motion, when the condition of independance is relaxed. Relations with the Levy fractional Brownian motion and with the fractional Brownian sheet are studied.
Erick Herbin, Ely Merzbach
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Demonstratio Mathematica, 2023 In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed.
Mohammed Wael W. +2 more
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Fractional Brownian Motion and the Markov Property
Electronic Communications in Probability, 1998 9 ...
Coutin, Laure, Carmona, Philippe
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A series expansion of fractional Brownian motion [PDF]
Probability Theory and Related Fields, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JH Harry van Zanten, KO Dzhaparidze
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FEBS Open Bio, EarlyView.Here, we introduced an intermittent electrical stimulation protocol mimicking the episodic nature of real‐life exercise in vitro by alternating low‐ and high‐frequency stimulation. In comparison with widely used continuous stimulation, it enhanced the rate of glucose and fatty acid oxidation, but not the myokine release.
Klára Gabrišová +11 more
wiley +1 more source
An extension of sub-fractional Brownian motion [PDF]
Publicacions Matemàtiques, 2013 In this paper, firstly, we introduce and study a self-similar Gaussian process with parameters H ∈ (0; 1) and K ∈ (0; 1] that is an extension of the well known sub-fractional Brownian motion introduced by Bojdecki et al. [4]. Secondly, by using a decomposition in law of this process, we prove the existence and the joint continuity of its local time.
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Advanced Engineering Materials, EarlyView.Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
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Modelling intermittent anomalous diffusion with switching fractional Brownian motion
New Journal of Physics, 2023 The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time.
Michał Balcerek +4 more
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