给出分数阶Bagley Torvik方程解的存在性和惟一性,导出了用格林函数表示分数阶Bagley Torvik方程的解析解.利用Riemann Liouville定义和Gr櫣nwald Letnikov定义之间的关系,提出了求解分数阶Bagley Torvik方程的一种更有效的数值方法.最后给出数值例子.In this paper, the existence and uniqueness of solution for the fractional-order Bagley-Torvik equation is given. The analytical solution of fractional-order Bagley-Torvik equation is derived by the corresponding Green's function.Using the relationship between the Riemann-Liouville definition and the Grünwald-Letnikov definition, a computationally effective method is proposed for the fractional-order Bagley-Torvik Equation.Finally , some numerical examples are given.国家自然科学基金(10271098)资
