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：本文考虑分数阶终值问题（FDE-TVPs）的数值求解。具体而言，所提出的方法采用牛顿型迭代，当与近期提出的分数阶初值问题（FDE-IVPs）逐步求解方法结合时，其效率尤为显著，后者能够为分数阶初值问题（FDE-IVPs）生成谱精度解。文中报告了若干数值实验以证明该方法有效性。