In this study we consider a spline-based collocation method to approximate the solution of fractional convection–diffusion equations which include fractional derivatives in both space and time. This kind of fractional differential equations are valuable for modeling various real-world phenomena across different scientific disciplines such as finance, physics, biology and engineering.

中文翻译：

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用于求解时空分数对流-扩散问题的基于样条的框架


在这项研究中，我们考虑了一种基于样条的搭配方法来近似分数阶对流-扩散方程的解，其中包括空间和时间上的分数阶导数。这种分数阶微分方程对于跨不同科学学科（如金融、物理、生物学和工程学）对各种现实世界的现象进行建模很有价值。