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 …

[图书][B] Stochastic analysis of mixed fractional Gaussian processes

Y Mishura, M Zili - 2018 - books.google.com
Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools
necessary to characterize Gaussian processes. The book focuses on the particular case of …

On drift parameter estimation in models with fractional Brownian motion

Y Kozachenko, A Melnikov, Y Mishura - Statistics, 2015 - Taylor & Francis
We consider a stochastic differential equation involving standard and fractional Brownian
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 …

[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 …

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
Taylor and Francis Online homepage Browse Search Publish Login | Register Log in or Register …

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 …

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 …

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 …

Стохастические дифференциальные уравнения и включения

Изложена теория стохастических дифференциальных уравнений и включений как в
конечномерных, так и в гильбертовых пространствах. Рассматриваются …