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：本文研究了分数阶终端值问题(FDE-TVPs)的数值解法。特别地，所提出的方法采用牛顿型迭代，当与近期引入的求解分数阶初值问题(FDE-IVPs)的逐步求解程序结合使用时，该方法尤为高效，能够产生FDE问题的谱精度解。文中还报告了一些数值实验以证明其有效性。