Fractional Calculus
Fractional Calculus
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DOI：
10.1142/9789813230927_0003
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发表时间：
2018-06
期刊：
影响因子：
--
通讯作者：
Richard Herrmann
中科院分区：
文献类型：
--
作者：
Richard Herrmann
本文旨在向读者介绍分数阶微积分。分数导数和积分以多种方式定义，然后相互连接，以便对主题有一个牢固的理解。读者应该精通本科复杂分析，这意味着他们也应该熟悉实分析。在结束语中，熟悉测度论的读者会发现对如何将本文讨论的主题扩展到更一般的分析的简短讨论。
This paper aims to give the reader a comfortable introduction to Fractional Calculus. Fractional Derivatives and Integrals are defined in multiple ways and then connected to each other in order to give a firm understanding in the subject. The reader is expected to be versed in undergraduate complex analysis, meaning that they should also be familiar with real analysis. In the concluding remarks, the readers familiar with measure theory will find a brief discussion of how to extend the topics discussed in the paper to more general analysis.