Abstract A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods.

中文翻译：

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淬火分数阶微分方程终值问题的搭配方法

摘要 本文研究了一类具有终值问题的淬火分数阶微分方程。提出了分段多项式空间上的离散搭配方法来求解这些方程。在加权空间上构造正则性结果并研究收敛阶次。几个例子支持了理论部分并与其他方法进行了比较。