$Stochastic Burgers equations with fractional derivative driven by fractional noise$

Stochastic Burgers equations with fractional derivative driven by fractional noise

by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in $C([0,T_{*}];L^p(\Omega;\dot{H}^{\gamma}))$ for some stoppingtime $T_{*}$.

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Bibliographische Detailangaben
Veröffentlicht in:	Electronic journal of differential equations 2023-07, Vol.2023 (1-??), p.49-20
Hauptverfasser:	Duan, Yubo, Jiang, Yiming, Tian, Yang, Wei, Yawei
Format:	Artikel
Sprache:	eng
Schlagworte:	caputo derivative fractional noise mild solution mittag-leffler operator stochastic burgers equation
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Beschreibung
Zusammenfassung:	by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in $C([0,T_{}];L^p(\Omega;\dot{H}^{\gamma}))$ for some stoppingtime $T_{}$.
ISSN:	1072-6691 1072-6691
DOI:	10.58997/ejde.2023.49