具有非奇异核的分数微分方程中的维度一致性
Dimensional consistency in fractional differential equations with non singular kernels
AI总结：
本文探讨了用分数导数代替普通时间导数时出现的维度一致性问题，提出通过变量替换确保非奇异核分数微分方程的物理维度一致性，并给出示例。
摘要：
本文旨在解决在将普通时间导数算子替换为分数导数算子以构建分数微分方程过程中出现的维度一致性问题。我们证明，通过执行满足特定条件的简单变量替换，可以确保具有非奇异核的分数微分方程在物理维度上的一致性。并给出了所提方法的一个示例。
英文摘要：
The purpose of this article is to address the issues of dimensional consistency that arise in the process of replacing the ordinary time derivative operator by a fractional derivative operator in order to write a fractional differential equation. We show that by performing a simple change of variables fulfilling certain conditions ensures the consistency in physical dimensions for fractional differential equations with non singular kernels. An example of the proposed method is given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
