The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

Y Guo, M Chen, XB Shu, F Xu - Stochastic Analysis and …, 2021 - Taylor & Francis
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic
solution to the fractional differential equation with impulse and fractional Brownian motion …

An Analysis on the Optimal Control for Fractional Stochastic Delay Integrodifferential Systems of Order 1 < γ < 2

M Johnson, V Vijayakumar - Fractal and Fractional, 2023 - mdpi.com
The purpose of this paper is to investigate the optimal control for fractional stochastic
integrodifferential systems of order 1< γ< 2. To ensure the existence and uniqueness of mild …

Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps

Y Ren, R Sakthivel - Journal of Mathematical Physics, 2012 - pubs.aip.org
Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic
evolution equations with infinite delay and Poisson jumps | Journal of Mathematical Physics …

Interior approximate controllability of second-order semilinear control systems

A Shukla, N Sukavanam - International Journal of Control, 2024 - Taylor & Francis
In our manuscript, we investigate the interior approximate controllability for the subsequent
semilinear second-order system in L 2 (Ω) s ″(σ)+ A 0 s (σ)= B 0 u (σ)+ ξ (σ, s (σ)), 0≤ σ≤ ϱ …

Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay

Z Yan - International Journal of Control, 2012 - Taylor & Francis
We prove the approximate controllability of control systems governed by a class of partial
neutral functional differential systems of fractional order with state-dependent delay in an …

Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay

G Arthi, JH Park, HY Jung - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we discuss a kind of impulsive second-order stochastic evolution systems with
state-dependent delay in a real separable Hilbert space. The results concerning the …

Approximate controllability of second-order neutral stochastic differential equations with infinite delay and Poisson jumps

M Palanisamy, R Chinnathambi - Journal of Systems Science and …, 2015 - Springer
The modelling of risky asset by stochastic processes with continuous paths, based on
Brownian motions, suffers from several defects. First, the path continuity assumption does …

Second-order neutral stochastic evolution equations with infinite delay under Caratheodory conditions

Y Ren, DD Sun - Journal of optimization theory and applications, 2010 - Springer
In this paper, we study a class of second-order neutral stochastic evolution equations with
infinite delay, in which the initial value belongs to the abstract space ℬ. We establish the …

On the controllability of nonlocal second‐order impulsive neutral stochastic integro‐differential equations with infinite delay

DD Huan - Asian Journal of Control, 2015 - Wiley Online Library
In this paper, we investigate the controllability for a class of nonlocal second‐order impulsive
neutral stochastic integro‐differential equations with infinite delay in Hilbert spaces. More …

Existence and approximate controllability results for second-order impulsive stochastic neutral differential systems

M Johnson, V Vijayakumar, A Shukla… - Applicable …, 2024 - Taylor & Francis
This paper focuses on the existence and approximate controllability of second-order non-
autonomous impulsive stochastic neutral differential systems in Hilbert spaces. First, by …