随机分数阶偏微分方程的L{2}-解解的存在性、唯一性和等价性
On The L{2}-Solutions of Stochastic Fractional Partial Differential Equations; Existence, Uniqueness and Equivalence of Solutions
摘要：
证明了一维随机分数阶偏微分方程$L^{2}-$解的存在唯一性。我们还证明了$L^{2}-$解决方案的几个概念之间的等价性。傅里叶变换用于赋予SFPDE意义。当扩散系数是随机的时，该方法也是有效的。
英文摘要：
The aim of this work is to prove existence and uniqueness of $L^{2}-$solutions of stochastic fractional partial differential equations in one spatial dimension. We prove also the equivalence between several notions of $L^{2}-$solutions. The Fourier transform is used to give meaning to SFPDEs. This method is valid also when the diffusion coefficient is random.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
