非线性模糊Volterra积分微分方程的解析解

Analytical Solutions of Nonlinear Fuzzy Volterra Integro-differential Equations

利用一种新方法,证明了非线性模糊Volterra积分微分方程的解的存在唯一性,并讨论了其特征。然后通过特征定理,将非线性模糊Volterra积分微分方程转化为积分微分方程组,从而给出了该方程的解析解。

This paper proves the existence and uniqueness of the solution of the nonlinear fuzzy Volterra intergro-differential equation in a new way,and discusses its characteristics as well.Moreover,by using the characteristic theorem,the nonlinear fuzzy Volterra intergro-differential equation is transformed into equivalent intergro-differential equations and the analytical solution of the corresponding nonlinear fuzzy Volterra intergro-differential equation is obtained.