Ulam–Hyers stability of pantograph fractional stochastic differential equations

L Mchiri, A Ben Makhlouf… - Mathematical Methods in …, 2023 - Wiley Online Library
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph
fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem …

Stability analysis of split-step theta method for neutral stochastic delayed neural networks

L Liu, F Deng, B Qu, J Fang - Journal of Computational and Applied …, 2023 - Elsevier
This paper focuses on the stability problem of split-step theta method for neutral stochastic
delayed neural networks (NSDNNs). Through analysis we obtain the following …

Almost sure exponential stability and stabilization of hybrid stochastic functional differential equations with Lévy noise

X Liu, P Cheng - Journal of Applied Mathematics and Computing, 2023 - Springer
This paper uses the stationary distribution of Markov chains to obtain new criteria for the
almost sure exponential stability of nonlinear hybrid stochastic functional differential …

Razumikhin theorems on polynomial stability of neutral stochastic pantograph differential equations with Markovian switching

Z Zou, Y Song, C Zhao - Mathematics, 2022 - mdpi.com
This paper investigates the polynomial stability of neutral stochastic pantograph differential
equations with Markovian switching (NSPDEsMS). Firstly, under the local Lipschitz condition …

New criteria of stochastic finite time stability for impulsive switched stochastic nonlinear systems

H Peng, Q Zhu - Communications in Nonlinear Science and Numerical …, 2025 - Elsevier
In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for
impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process …

‐stability of hybrid neutral stochastic differential equations with infinite delay

T Caraballo, L Mchiri, B Mohsen - International Journal of …, 2022 - Wiley Online Library
‐stability of hybrid neutral stochastic differential equations with infinite delay - Caraballo - 2022 -
International Journal of Robust and Nonlinear Control - Wiley Online Library Skip to Article …

Asymptotic stability of neutral stochastic pantograph systems with Markovian switching

Z Zou, Y Song, Q Zhu, C Zhao - International Journal of Control, 2024 - Taylor & Francis
This paper investigates the asymptotic stability of neutral stochastic pantograph systems with
Markovian switching (NSPSMS). The stochastic LaSalle theorem has been set up to locate …

Stability of impulsive stochastic delay systems with Markovian switched delay effects

W Hu - Mathematics, 2022 - mdpi.com
In this paper, we investigate the p th moment exponential stability of impulsive stochastic
delay systems with Markovian switched delay effects. The model we consider here is rather …

Nontrivial equilibrium solutions and general stability for stochastic evolution equations with pantograph delay and tempered fractional noise

Y Liu, Y Wang, T Caraballo - SIAM Journal on Mathematical Analysis, 2022 - SIAM
In this paper, we investigate the asymptotic behavior of stochastic pantograph delay
evolution equations driven by a tempered fractional Brownian motion (tfBm) with Hurst …

Ulam–Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations

O Kahouli, S Albadran, A Aloui, A Ben Makhlouf - Symmetry, 2023 - mdpi.com
In this article, we investigate the existence and uniqueness Theorem of Pantograph
Hadamard fractional stochastic differential equations (PHFSDE) using the fixed-point …