Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0039187
Abstract: In this paper, we mainly study the long-time dynamical behaviors of 2D nonlocal stochastic Swift-Hohenberg equations with multiplicative noise from two perspectives. Firstly, by adopting the analytic semigroup theory, we prove the upper semi-continuity of… read more here.
Keywords: upper semi; semi continuity; swift hohenberg; multiplicative noise ... See more keywords
Time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2018.1486203
Abstract: Abstract We present the time-spatial regularity of the nonlocal stochastic convolution for Caputo-type time fractional nonlocal Ornstein–Ulenbeck equations by the generalized Mittag–Leffler functions and Mainardi function, and establish the existence and uniqueness of mild solutions… read more here.
Keywords: fractional space; stochastic nonlinear; time fractional; time ... See more keywords
Exponential convergence in the mean-square sense of nonlocal stochastic almost automorphic genetic regulatory lattice networks
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DOI: 10.1177/01423312231163926
Abstract: This paper first establishes the lattice model for nonlocal stochastic genetic regulatory networks with reaction diffusions by employing a mix of the finite difference and Mittag–Leffler time Euler difference techniques. Second, the existence of a… read more here.
Keywords: nonlocal stochastic; mean square; genetic regulatory; exponential convergence ... See more keywords