Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay
From MaRDI portal
Publication:2825395
DOI10.1080/00036811.2015.1086756zbMath1356.34079OpenAlexW2412277583WikidataQ58150637 ScholiaQ58150637MaRDI QIDQ2825395
Abdelghani Ouahab, A. Boudaoui, Tomás Caraballo Garrido
Publication date: 7 October 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/handle/11441/44884
fixed pointfractional Brownian motionmild solutionsattractivityneutral stochastic functional differential equation
Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40)
Related Items
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion ⋮ Neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion ⋮ Impulsive stochastic fractional differential equations driven by fractional Brownian motion ⋮ Approximate Controllability of Second Order Neutral Stochastic Integro Differential Equations with Impulses Driven By Fractional Brownian Motion ⋮ Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps ⋮ Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise ⋮ Hyers-Ulam stability result for Hilfer fractional integrodifferential stochastic equations with fractional noises and non-instantaneous impulses ⋮ Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay ⋮ Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps ⋮ Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps ⋮ Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition ⋮ Conformable fractional stochastic differential equations with control function ⋮ Approximate controllability via resolvent operators of Sobolev-type fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps ⋮ New well-posedness results for stochastic delay Rayleigh-Stokes equations ⋮ Existence results systems coupled impulsive neutral stochastic functional differential equations with the measure of noncompactness ⋮ Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion ⋮ Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion
Cites Work
- An impulsive delay differential inequality and applications
- Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- 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
- On global existence and attractivity results for nonlinear functional integral equations
- Non-densely defined impulsive neutral stochastic functional differential equations driven by fBm in Hilbert space with infinite delay
- Existence results for fractional order semilinear integro-differential evolution equations with infinite delay
- Semigroups of linear operators and applications to partial differential equations
- Existence of solutions to neutral functional integrodifferential equations in Banach spaces
- Stochastic evolution equations with fractional Brownian motion
- \(p\)th moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs
- Existence results for partial neutral functional integrodifferential equations with unbounded delay
- Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions
- Stochastic calculus for fractional Brownian motion and related processes.
- Impulsive Differential Inclusions
- Existence and Stability Results for Second-Order Stochastic Equations Driven by Fractional Brownian Motion
- On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay
- The Malliavin Calculus and Related Topics
- A Fixed Point Theorem of Krasnoselskii—Schaefer Type
- Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses
- Systems governed by impulsive differential inclusions on Hilbert spaces