中文摘要：

介绍了一类模糊随机固定资产模型,它同时受两种不确定性因素的影响,即随机和模糊因素.漂移系数和扩散系数在初始有界的条件（弱于线性增长条件）和Lipschitz条件下,运用Picard迭代的方法证明了模糊随机固定资产模型解的存在性和唯一性.并且给出Picard迭代近似解误差的估计式.

英文摘要：

In this paper,a class of stochastic fuzzy age-dependent capital system is investigated.Where the phenomena is subjected to two kinds of uncertainties：stochastic and fuzziness.Under the initial bounded condition,which is weaker than linear growth condition,and Lipschitz condition with the drift coefficient and the diffusion coefficient,we obtain existence and uniqueness of solution to stochastic fuzzy age-dependent capital system based on the Picard iteration.Finally,an estimation on the error of approximate solution of the Picard iteration is given.