Stochastic Averaging Principle for Mixed Stochastic Differential Equations
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Publication:5089517
DOI10.4208/jpde.v35.n3.3OpenAlexW4283696108WikidataQ114021163 ScholiaQ114021163MaRDI QIDQ5089517
Yuanyuan Jing, Yarong Peng, Zhi Li
Publication date: 19 July 2022
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jpde.v35.n3.3
fractional Brownian motiondiscontinuous driftmixed stochastic differential equationaveraging principle mixed stochastic differentaveraging principle
Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Stochastic integrals (60H05)
Cites Work
- Unnamed Item
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- Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion
- Convergence of solutions of mixed stochastic delay differential equations with applications
- One-dimensional BSDEs with left-continuous, lower semi-continuous and linear-growth generators
- Stochastic averaging principle for dynamical systems with fractional Brownian motion
- An averaging principle for stochastic dynamical systems with Lévy noise
- No arbitrage without semimartingales
- Integration with respect to fractal functions and stochastic calculus. I
- Stock market prices and long-range dependence
- Differential equations driven by fractional Brownian motion
- Stochastic averaging for two-time-scale stochastic partial differential equations with fractional Brownian motion
- The existence and uniqueness of the solution of an integral equation driven by a \(p\)-semimartin\-gale of special type.
- Monotonicity of certain functionals under rearrangement
- Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
- Stochastic viability and comparison theorems for mixed stochastic differential equations
- Stochastic calculus for fractional Brownian motion and related processes.
- Mixed fractional stochastic differential equations with jumps
- Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
- Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion
- Averaging principles for SPDEs driven by fractional Brownian motions with random delays modulated by two-time-scale Markov switching processes
- Stochastic averaging principles for multi-valued stochastic differential equations driven by poisson point Processes
- Fractional Processes as Models in Stochastic Finance
- Modified Euler approximation of stochastic differential equation driven by Brownian motion and fractional Brownian motion
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