Stochastic Burgers equations with fractional derivative driven by fractional noise
[摘要] In this article, we study fractional stochastic Burgers equations perturbed by fractional noise. Existence and uniqueness of a mild solution is given by a fixed point argument. Then, we explore Holder regularity of the mild solution in \(C([0,T_{*}];L^p(\Omega;\dot{H}^{\gamma}))\) for some stopping time \(T_{*}\).
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] Stochastic Burgers equation;Caputo derivative;fractional noise;Mittag-Leffler operator;mild solution. [时效性]
