Existence and exponential stability in the \(p\)th moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion
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Publication:2068039
DOI10.1186/s13660-019-2213-5zbMath1499.60233OpenAlexW2981049943WikidataQ115519147 ScholiaQ115519147MaRDI QIDQ2068039
Xia Zhou, Dongpeng Zhou, Shou-ming Zhong
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2213-5
exponential stabilityWiener processfractional Brownian motionimpulsiveneutral stochastic differential equations
Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic integral equations (60H20)
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Cites Work
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- Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- Peng's maximum principle for a stochastic control problem driven by a fractional and a standard Brownian motion
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients
- Functional differential equations driven by a fractional Brownian motion
- Stochastic differential equations driven by a Wiener process and fractional Brownian motion: convergence in Besov space with respect to a parameter
- Asymptotic behavior of stochastic two-dimensional Navier-Stokes equations with delays
- Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space
- Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
- Integral inequality and exponential stability for neutral stochastic partial differential equations with delays
- Semigroups of linear operators and applications to partial differential equations
- Mixed fractional Brownian motion
- Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
- Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time-varying delay
- Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory
- Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point
- Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
- Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion
- New criteria on exponential stability of neutral stochastic differential delay equations
- Malliavin regularity of solutions to mixed stochastic differential equations
- Exponential stability of nonautonomous stochastic partial differential equations with finite memory
- On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay
- On controllability of second-order impulsive neutral integrodifferential systems with infinite delay
- Stochastic Equations in Infinite Dimensions
- Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion
- Stochastic Volterra integro-differential equations driven by a fractional Brownian motion with delayed impulses
- Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals
- Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses
- A class of functional equations of neutral type
- Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion
