利用再生核解一类分数阶微分积分方程

Using reproducing kernel for solving a class of fractional integro-differential equation

运用再生核和迭代法的技巧,给出一类分数阶微分积分方程的级数形式精确解和近似解。在矩阵B中引进参数,通过选择参数,可以使近似解的精度更高。数值算例表明,本方法不仅有效而且具有较好的精度。

By using the reproducing kernel and iterative techniques,the series exact and approximate solutions of a class of fractional integro-differential equation are given.Two parameters are introduced into the matrix B,which results in high precision of solutions.Numerical experiments show that the method is not only effective but also better precision.