一类分数阶微分方程的新解法

摘要

In this paper , a new iterative method ( NIM) proposed by Daftarar-Gejji and Jafari is applied to solve fractional ordinary differential equations . We obtain the numerical solutions of fractional equation . Numerical results demonstrate the efficiency of this iterative method by comparing the numerical solutions and the analytic solutions .%本文将Daftardar－Gejji和Jafari提出的一种新的迭代方法（简记为NIM），应用到分数阶常微分方程的数值求解中，得到方程的近似解；并通过近似解和解析解的比较，表明了新迭代方法的有效性。