Open AccessExistence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise
Author(s) -
Tran Ngoc Thach,
Devendra Kumar,
Nguyen Hoang Luc,
Nguyen Huy Tuan
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021118
Subject(s) - uniqueness , white noise , mathematics , noise (video) , space (punctuation) , work (physics) , mathematical analysis , parabolic partial differential equation , derivative (finance) , partial differential equation , computer science , statistics , physics , artificial intelligence , image (mathematics) , thermodynamics , operating system , financial economics , economics
Solutions of a direct problem for a stochastic pseudo-parabolic equation with fractional Caputo derivative are investigated, in which the non-linear space-time-noise is assumed to satisfy distinct Lipshitz conditions including globally and locally assumptions. The main aim of this work is to establish some existence, uniqueness, regularity, and continuity results for mild solutions.