https://www.aimsciences.org/DCDS-S/article/2023/16/10

Issue on deterministic and probabilistic dynamics of nonlocal partial differential equations. Part I

Preface
Tomás Caraballo, Renhai Wang and Nguyen Huy Tuan

Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise
Yarong Liu and Yejuan Wang

The periodic initial value problem for Landau–Lifshitz–Bloch–Maxwell systeme
Yitong Pei, Fengxia Liu, Boling Guo and Wuming Liu

Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise
Lingyu Li, Zhang Chen and Tomás Caraballo

Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains
Jebessa B. Mijena, Erkan Nane and Alemayehu G. Negash

A mixed nonlinear time-fractional Rayleigh-Stokes equation
Vo Van Au and Tomás Caraballo

On stochastic elliptic equations driven by Wiener process with non-local condition
Nguyen Huy Tuan, Nguyen Minh Hai, Tran Ngoc Thach and Nguyen Huu Can

A hierarchy of heat conduction laws
Filippo Dell'Oro and Vittorino Pata

Mean-square invariant manifolds for stochastic weak-damping wave equations with nonlinear noise
Fengling Wang and Yangrong Li

Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids
Hujun Yang, Xiaoling Han, Xuan Wang and Caidi Zhao

Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise
Yajing Li, Yejuan Wang, Weihua Deng and Daxin Nie

Random attractors and invariant measures for 3D stochastic globally modified Navier-Stokes equations with time-dependent delay and coefficient
Zhang Chen, Wei Lin, Dandan Yang and Xiaodong Zuo

Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth
Huijian Zhu, Yuming Peng, Yiyang Li and Caibin Zeng

Uniform large deviation principles of fractional stochastic reaction-diffusion equations on unbounded domains
Bixiang Wang

Distributed-order space-time fractional diffusions in bounded domains
Ngartelbaye Guerngar and James McCormick

Galerkin stability of pullback attractors for nonautonomous nonlocal equations
Shulin Wang and Yangrong Li

Well-posedness results for nonlinear fractional diffusion equation with memory quantity
Nguyen Huy Tuan, Anh Tuan Nguyen, Amar Debbouche and Valery Antonov

Terminal value problem for nonlinear parabolic and pseudo-parabolic systems
Ho Duy Binh, Nguyen Van Tien, Vo Ngoc Minh and Nguyen Huu Can

Invariant measures for stochastic delay nonlocal lattice dynamical systems
Mengtao Wu, Shaoyue Mi and Dingshi Li

On stability and regularity for semilinear anomalous diffusion equations perturbed by weak-valued nonlinearities
Nguyen Van Dac, Tran Dinh Ke and Lam Tran Phuong Thuy