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On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet

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Abstract In this paper, we discuss a class of stochastic nonlinear partial differential equation of Burgers type driven by pseudo differential operator for and fractional Brownian sheet. The existence and… Click to show full abstract

Abstract In this paper, we discuss a class of stochastic nonlinear partial differential equation of Burgers type driven by pseudo differential operator for and fractional Brownian sheet. The existence and uniqueness of an Lp-valued (local) solution is established for the initial valued problem to the equation.

Keywords: fractional brownian; mixed fractional; brownian sheet; equation; burgers type

Journal Title: Stochastic Analysis and Applications
Year Published: 2020

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