Approximate Controllability for Time-dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Poisson Jumps

DOI10.5890/DNC.2021.06.005zbMath1494.93019OpenAlexW3134016157WikidataQ115158674 ScholiaQ115158674MaRDI QIDQ5087575

K. Ravikumar, K. Ramkumar, Annamalai Anguraj

Publication date: 1 July 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2021.06.005

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Stochastic systems in control theory (general) (93E03) PDEs with randomness, stochastic partial differential equations (35R60) Impulsive partial differential equations (35R12) Impulsive control/observation systems (93C27)

Related Items

Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process, Approximate controllability of semi-linear stochastic integrodifferential system with multiple delays and Poisson jumps in control, Trajectory controllability of impulsive neutral stochastic functional integrodifferential equations driven by fBm with noncompact semigroup via Mönch fixed point

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps
• Approximate controllability of nonlinear fractional dynamical systems
• Approximate controllability of fractional order semilinear systems with bounded delay
• Complete controllability of stochastic evolution equations with jumps
• Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space
• Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Semigroups of linear operators and applications to partial differential equations
• Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay
• Exponential stability of second-order stochastic evolution equations with Poisson jumps
• Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
• Controllability of non-linear stochastic systems
• Approximate controllability of stochastic equations in a Hilbert space with fractional Brownian motions
• Fractional Brownian Motions, Fractional Noises and Applications
• Controllability of linear stochastic systems in Hilbert spaces
• Stochastic Equations in Infinite Dimensions