The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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
This paper focuses on the existence and approximate controllability of second-order non-
autonomous impulsive stochastic neutral differential systems in Hilbert spaces. First, by …
autonomous impulsive stochastic neutral differential systems in Hilbert spaces. First, by …