Approximate controllability of impulsive neutral stochastic differential equations driven by Poisson jumps

DOI10.1007/s10883-016-9348-1zbMath1384.34083OpenAlexW2585338578MaRDI QIDQ1702966

Alka Chadha, Swaroop Nandan Bora

Publication date: 1 March 2018

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-016-9348-1

zbMATH Keywords

Hilbert spaceapproximate controllabilityresolvent operatorfixed point theoremCaputo derivativePoisson jumpsstochastic integro-differential equation

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (11)

Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ Stability analysis of the \(\theta\)-method for hybrid neutral stochastic functional differential equations with jumps ⋮ A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\) ⋮ Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps ⋮ Approximate controllability of semilinear system involving state-dependent delay via fundamental solution ⋮ Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump ⋮ Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0<H<\frac{1}{2}\), and Poisson jumps ⋮ 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 ⋮ Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations ⋮ Approximate Controllability of Stochastic Fractional Neutral Impulsive Integrodifferential Systems with State Dependent Delay and Poisson Jumps

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