Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
G Shen, J Xiang, JL Wu - Journal of Differential Equations, 2022 - Elsevier
In this paper, we study distribution dependent stochastic differential equations driven
simultaneously by fractional Brownian motion with Hurst index H> 1 2 and standard …
simultaneously by fractional Brownian motion with Hurst index H> 1 2 and standard …
[图书][B] Stochastic analysis of mixed fractional Gaussian processes
Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools
necessary to characterize Gaussian processes. The book focuses on the particular case of …
necessary to characterize Gaussian processes. The book focuses on the particular case of …
On drift parameter estimation in models with fractional Brownian motion
We consider a stochastic differential equation involving standard and fractional Brownian
motion with unknown drift parameter to be estimated. We investigate the standard maximum …
motion with unknown drift parameter to be estimated. We investigate the standard maximum …
Numerical simulation of the Hurst index of solutions of fractional stochastic dynamical systems driven by fractional Brownian motion
A Shahnazi-Pour, BP Moghaddam, A Babaei - Journal of Computational …, 2021 - Elsevier
This paper proposes an accurate and computationally technique for solving fractional
stochastic differential equations driven by fractional Brownian motion with Hurst index that …
stochastic differential equations driven by fractional Brownian motion with Hurst index that …
[HTML][HTML] Mixed stochastic differential equations with long-range dependence: Existence, uniqueness and convergence of solutions
Y Mishura, G Shevchenko - Computers & Mathematics with Applications, 2012 - Elsevier
For a mixed stochastic differential equation involving standard Brownian motion and an
almost surely Hölder continuous process Z with Hölder exponent γ> 1/2, we establish a new …
almost surely Hölder continuous process Z with Hölder exponent γ> 1/2, we establish a new …
Mixed fractional stochastic differential equations with jumps
G Shevchenko - Stochastics An International Journal of Probability …, 2014 - Taylor & Francis
Full article: Mixed fractional stochastic differential equations with jumps Skip to Main Content
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Asymptotic expansions of solutions of stochastic differential equations driven by multivariate fractional Brownian motions having Hurst indices greater than
M Vaskouski, I Kachan - Stochastic Analysis and Applications, 2018 - Taylor & Francis
In this paper, we consider n-dimensional stochastic differential equations driven by
multivariate fractional Brownian motion with Hurst indices greater than 1 3. Using a Taylor …
multivariate fractional Brownian motion with Hurst indices greater than 1 3. Using a Taylor …
Mixed stochastic differential equations: Existence and uniqueness result
JL da Silva, M Erraoui, EH Essaky - Journal of Theoretical Probability, 2018 - Springer
In this paper we establish an existence and uniqueness result for solutions of
multidimensional, time-dependent, stochastic differential equations driven simultaneously by …
multidimensional, time-dependent, stochastic differential equations driven simultaneously by …
Mixed stochastic delay differential equations
G Shevchenko - Theory of Probability and Mathematical Statistics, 2014 - ams.org
We consider a stochastic delay differential equation driven by a Hölder continuous process
$ Z $ and a Wiener process. Under fairly general assumptions on coefficients of the …
$ Z $ and a Wiener process. Under fairly general assumptions on coefficients of the …
Стохастические дифференциальные уравнения и включения
АА Леваков, ММ Васьковский - 2019 - elib.bsu.by
Изложена теория стохастических дифференциальных уравнений и включений как в
конечномерных, так и в гильбертовых пространствах. Рассматриваются …
конечномерных, так и в гильбертовых пространствах. Рассматриваются …