Well-Posedness For A Class Of Fractional Stochastic Partial Differential Equations

In this paper,we mainly study the the uniqueness and existence of strong solutions for fractional stochastic partial differential equations with local monotonicity condition and generalized coercivity condition by the generalized variational approach.The main results contain stochastic fractional Surface Growth model and stochastic fractional Cahn-Hilliard equation.The content of the thesis is divided into four parts as follows:In Chapter 1,we introduce the research background and recent development of stochastic partial differential equations,and the main results of our paper are also briefly introduced.In Chapter 2,we mainly introduce some preliminaries for stochastic partial differ-ential equations.In Chapter 3,we prove the uniqueness and existence of strong solutions for stochastic fractional Surface Growth model.In Chapter 4,we prove the well-posedness for the stochastic fractional Cahn-Hilliard equation.