Abstract In this paper, an hp-version Chebyshev collocation method is developed for the nonlinear fractional differential equations. The hp-version error bounds of the Chebyshev collocation method are derived under the L 2 -norm and the L ∞ -norm. Numerical experiments are included to illustrate the theoretical results.

中文翻译：

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非线性分数阶微分方程的hp版Chebyshev搭配方法

摘要 本文针对非线性分数阶微分方程，提出了一种hp版Chebyshev搭配方法。Chebyshev 搭配方法的 hp 版本误差界限是在 L 2 -范数和 L ∞ -范数下导出的。包括数值实验来说明理论结果。