Approximate and trajectory controllability of fractional stochastic differential equation with non‐instantaneous impulses and Poisson jumps

R Dhayal, M Malik, S Abbas - Asian Journal of Control, 2021 - Wiley Online Library
The problem of approximate controllability is investigated in this paper for a class of
fractional stochastic differential equations driven by fractional Brownian motion with non …

Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

P Balasubramaniam - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, the necessary and sufficient conditions are derived for the controllability of
Atangana-Baleanu-Caputo (ABC) neutral fractional differential equations (FDEs) with …

The existence and averaging principle for stochastic fractional differential equations with impulses

J Zou, D Luo, M Li - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, a class of fractional stochastic differential equations (SFDEs) with impulses is
considered. By virtue of Mönch's fixed point theorem and Banach contraction principle, we …

Finite time stability analysis for fractional stochastic neutral delay differential equations

JA Asadzade, NI Mahmudov - Journal of Applied Mathematics and …, 2024 - Springer
In this manuscript, we investigate a fractional stochastic neutral differential equation with
time delay, which includes both deterministic and stochastic components. Our primary …

Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps

HM Ahmed, JR Wang - Bulletin of the Iranian Mathematical Society, 2018 - Springer
In this paper, we establish sufficient conditions for exact null controllability of Sobolev type
stochastic differential equations with fractional Brownian motion and Poisson jumps in …

Exact and trajectory controllability of second‐order evolution systems with impulses and deviated arguments

M Muslim, A Kumar, R Sakthivel - Mathematical Methods in the …, 2018 - Wiley Online Library
In this paper, we consider a control system represented by a second‐order evolution
impulsive problems with delay and deviated arguments in a Banach space X. We used the …

On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses

S Suganya, D Baleanu, P Kalamani… - Advances in Difference …, 2015 - Springer
In this manuscript, we work to actualize the Darbo (Banas and Goebel in Measure of
Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) …

Existence of Solutions and Approximate Controllability of Fractional Nonlocal Neutral Impulsive Stochastic Differential Equations of Order 1 < q < 2 with Infinite Delay …

P Muthukumar, K Thiagu - Journal of Dynamical and Control Systems, 2017 - Springer
In this paper, we study the existence of mild solutions and the approximate controllability of
nonlinear fractional nonlocal neutral impulsive stochastic differential equations of order 1< …

Retarded stochastic differential equations with infinite delay driven by Rosenblatt process

R Sakthivel, P Revathi, Y Ren… - Stochastic analysis and …, 2018 - Taylor & Francis
Hermite processes are self-similar processes with stationary increments, the Hermite
process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the …

Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion

R Dhayal, M Malik, S Abbas - Differential Equations and Dynamical …, 2021 - Springer
In this manuscript, we study the approximate controllability for a class of non-instantaneous
impulsive stochastic fractional differential equation driven by fractional Brownian motion in …