标题： 随机分数守恒律：大偏差原理，中心极限定理和中偏差原理 显示英文标题

标题： Stochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle

摘要： 在本文中，我们在动力学形式框架下，建立了带有小乘性噪声的随机分数阶守恒律的弗里德林-文策尔型大偏差原理和中心极限定理。弱收敛方法和变量加倍方法起着关键作用。作为结果，我们还建立了基础问题的中偏差原理。 显示英文摘要

摘要： In this article, we establish the Freidlin-Wentzell type large deviation principle and central limit theorem for stochastic fractional conservation laws with small multiplicative noise in kinetic formulation framework. The weak convergence method and doubling variables method play a crucial role. As a consequence, we also establish moderate deviation principle for the underlying problem.