Existence and uniqueness of random nonlocal differential equations with colored noise
type: Item
instance of: scholarly article
title: Existence and uniqueness of random nonlocal differential equations with colored noise
zbMATH Open document ID: 1541.35063
author: Ruonan Liu
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2024-05-30T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 7856214
zbMATH Keywords: Caputo time fractional derivative
zbMATH Keywords: Gronwall inequality
zbMATH Keywords: singular kernel
zbMATH Keywords: colored noise
MaRDI profile type: Publication
cites work: On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
cites work: On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel
cites work: Numerical algorithms for the forward and backward fractional Feynman-Kac equations
cites work: Q4452862
cites work: Geometric theory of semilinear parabolic equations
cites work: The existence and asymptotic behavior of solutions to fractional stochastic evolution equations with infinite delay
cites work: Wong-Zakai approximations and long term behavior of stochastic partial differential equations
cites work: Inequalities for differential and integral equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141895
cites work: On initial and terminal value problems for fractional nonclassical diffusion equations
cites work: Local and global existence of solutions to a time-fractional wave equation with an exponential growth
cites work: Asymptotic behavior of stochastic lattice systems with a Caputo fractional time derivative
cites work: On the Convergence of Ordinary Integrals to Stochastic Integrals
cites work: Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
cites work: Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
cites work: A generalized Gronwall inequality and its application to a fractional differential equation
DOI: 10.3934/DCDSS.2023143
description: scientific article; zbMATH DE number 7856214