In this paper we consider the numerical solution of fractional terminal value problems (FDE-TVPs). In particular, the proposed procedure uses a Newton-type iteration which is particularly efficient when coupled with a recently-introduced step-by-step procedure for solving fractional initial value problems (FDE-IVPs), able to produce spectrally accurate solutions of FDE problems. Some numerical tests are reported to make evidence of its effectiveness.

翻译：本文研究分数阶终端值问题（FDE-TVPs）的数值求解方法。所提出的算法采用牛顿型迭代格式，该格式与近期提出的分数阶初值问题（FDE-IVPs）逐步求解方法结合时具有显著效率优势，能够获得分数阶微分方程问题的谱精度解。文中通过若干数值实验验证了该方法的有效性。