Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

DOI10.1186/s13660-018-1793-9zbMath1498.37090OpenAlexW2885403240WikidataQ58805733 ScholiaQ58805733MaRDI QIDQ824712

Xinwen Zhang, Dehao Ruan

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1793-9

zbMATH Keywords

exponential stabilityfractional Brownian motionBrownian motionmild solutionstochastic functional partial differential equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stable stochastic processes (60G52) Exponential stability (93D23) Stability theory for random and stochastic dynamical systems (37H30) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Related Items (5)

Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses ⋮ Trajectory control and \(p\)th moment exponential stability of neutral functional stochastic systems driven by Rosenblatt process ⋮ Existence and exponential stability in the \(p\)th moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion ⋮ Stability of a class of impulsive neutral stochastic functional partial differential equations ⋮ Exponential stabilisation and dissipativity analysis of semilinear parabolic systems

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