EXISTENCE AND REGULARITY RESULTS FOR STOCHASTIC FRACTIONAL PSEUDO-PARABOLIC EQUATIONS DRIVEN BY WHITE NOISE

被引：11

作者：

Tran Ngoc Thach ^{[1
]}

Kumar, Devendra ^{[2
]}

Nguyen Hoang Luc ^{[3
]}

Nguyen Huy Tuan ^{[4
,5
]}

机构：

[1] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India

[3] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

[4] Van Lang Univ, Div Appl Math, Sci & Technol Adv Inst, Ho Chi Minh City, Vietnam

[5] Van Lang Univ, Fac Technol, Ho Chi Minh City, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 02期

关键词：

Pseudo-parabolic equation; wiener process; existence; regularity; stochastic; NONCLASSICAL DIFFUSION-EQUATIONS; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; GLOBAL EXISTENCE; BLOW-UP; WELL-POSEDNESS; DECAY; BEHAVIOR; DYNAMICS; TIME;

D O I：

10.3934/dcdss.2021118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 includ-ing globally and locally assumptions. The main aim of this work is to establish some existence, uniqueness, regularity, and continuity results for mild solutions.

引用

页码：481 / 499

页数：19

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