Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm

DOI10.1186/s13662-020-2520-7zbMath1487.34155OpenAlexW3031292203WikidataQ115518437 ScholiaQ115518437MaRDI QIDQ2144079

Wei Xu, Qin Guo, Jiankang Liu

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-2520-7

zbMATH Keywords

exponential stabilityCaputo fractional derivativedelayed impulsesglobal attracting setfractional neutral stochastic integro-differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37)

Related Items (9)

Averaging of neutral stochastic partial functional differential equations involving delayed impulses ⋮ Sobolev-type nonlocal conformable stochastic differential equations ⋮ Periodic averaging theorems for neutral stochastic functional differential equations involving delayed impulses ⋮ Stabilization of delayed neutral semi-Markovian jumping stochastic systems driven by fractional Brownian motions: \(H_\infty\) control approach ⋮ Existence and stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion ⋮ An averaging result for impulsive fractional neutral stochastic differential equations ⋮ Averaging principle for impulsive stochastic partial differential equations ⋮ Stochastic stabilization of Markovian jump neutral systems with fractional Brownian motion and quantized controller ⋮ Some results on finite-time stability of stochastic fractional-order delay differential equations

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