中文摘要：

研究了一类分数阶广义非线性扰动热波方程.首先在典型分数阶热波方程情形下得到解,接着用泛函分析映射方法,求出了分数阶广义非线性扰动热波方程初始边值问题的任意次近似解析解.最后简述了它的物理意义.求得的近似解析解,弥补了单纯用数值方法得到的模拟解的不足.

英文摘要：

A class of fractional nonlinear disturbed thermal wave equation is considered. Firstly,the solution of typical fractional disturbed thermal wave equation is obtained. Then the arbitrary order approximate analytic solutions for fractional generalized nonlinear disturbed thermal wave equation initial boundary value problem are constructed by using the method of functional analysis mapping.The physical sense of solution is stated simply. The approximate analysis solution makes up for the deficiency of the simple numerical simulation solution.