Results 11 to 20 of about 1,966,680 (255)

Relatively exact controllability of fractional stochastic delay system driven by Lévy noise

open access: yesMathematical methods in the applied sciences, 2023
In this article, we consider the relatively exact controllability of fractional stochastic delay system (FSDS) driven by Lévy noise. First, we derive the solution of linear FSDS via delayed matrix functions of Mittag–Leffler (M‐L).
Jizhao Huang, Danfeng Luo
semanticscholar   +1 more source

The Averaging Principle for Hilfer Fractional Stochastic Evolution Equations with Lévy Noise

open access: yesFractal and Fractional, 2023
This article focuses on deriving the averaging principle for Hilfer fractional stochastic evolution equations (HFSEEs) driven by Lévy noise. We show that the solutions of the averaged equations converge to the corresponding solutions of the original ...
Min Yang, Ting Lv, Qiru Wang
semanticscholar   +1 more source

Jumping to Conclusion? A Lévy Flight Model of Decision Making [PDF]

open access: yesTutorials in Quantitative Methods for Psychology, 2020
The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made.
Wieschen, Eva Marie   +2 more
doaj   +1 more source

The Stochastic Heat Equation with Multiplicative Lévy Noise: Existence, Moments, and Intermittency [PDF]

open access: yesCommunications in Mathematical Physics, 2021
We study the stochastic heat equation (SHE) ∂tu=12Δu+βuξ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Q. Berger, Carsten H. Chong, H. Lacoin
semanticscholar   +1 more source

Slow Manifolds for Stochastic Koper Models with Stable Lévy Noises

open access: yesAxioms, 2023
The Koper model is a vector field in which the differential equations describe the electrochemical oscillations appearing in diffusion processes. This work focuses on the understanding of the slow dynamics of a stochastic Koper model perturbed by stable ...
Hina Zulfiqar   +2 more
doaj   +1 more source

Analysis of a Stochastic SICR Epidemic Model Associated with the Lévy Jump

open access: yesApplied Sciences, 2022
We propose and study a Susceptible-Infected-Confined-Recovered (SICR) epidemic model. For the proposed model, the driving forces include (for example) the Brownian motion processes and the jump Lévy noise.
Hari M. Srivastava, Jaouad Danane
doaj   +1 more source

Mathematical analysis of new variant Omicron model driven by Lévy noise and with variable-order fractional derivatives

open access: yesChaos, Solitons & Fractals, 2023
In this paper, we study a variable-order fractional mathematical model driven by Lévy noise describing the new variant of COVID-19 (Omicron virus). Based on our analysis and discussion under a new set of sufficient conditions, we prove the existence and ...
Seyfeddine Moualkia
semanticscholar   +1 more source

Nonlinear stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Lévy noise [PDF]

open access: yes, 2021
The aim of this article is to show the global existence of both martingale and pathwise solutions of stochastic equations with a monotone operator, of the Ladyzenskaya-Smagorinsky type, driven by a general Levy noise.
Phuong Nguyen, Krutika Tawri, R. Temam
semanticscholar   +1 more source

Stabilization for uncertain stochastic T–S fuzzy system driven by Lévy noise

open access: yesAdvances in Difference Equations, 2021
Different from the other work, the almost sure asymptotic stability of an uncertain stochastic T–S fuzzy system driven by Lévy noise has been investigated.
Dezhi Liu, Min Zhu, Jia Liu
doaj   +1 more source

A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise

open access: yesAdvances in Difference Equations, 2018
In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, 2010), we develop a white noise frame for anisotropic ...
Xuebin Lü, Wanyang Dai
doaj   +1 more source

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