分数阶微积分的两个重要定理的应用

2021 INTERNATIONAL CONFERENCE ON ADVANCED EDUCATION AND INFORMATION MANAGEMENT (AEIM 2021) Pub Date : 2021-03-29 DOI:10.12783/dtssehs/aeim2021/36005

Chii-Huei Yu

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引用次数: 0

摘要

摘要本文研究了分数阶微积分的基本定理和分数阶微积分的分部积分定理，讨论了Jumarie型的修正Riemann-Liouville分数阶导数。另一方面，给出了一些例子来说明这两个重要定理的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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APPLICATIONS OF TWO IMPORTANT THEOREMS OF FRACTIONAL CALCULUS

Abstract. In this article, we study the fundamental theorem of fractional calculus and integration by parts for fractional calculus, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives. On the other hand, some examples are proposed to illustrate the applications of these two important theorems.

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来源期刊

2021 INTERNATIONAL CONFERENCE ON ADVANCED EDUCATION AND INFORMATION MANAGEMENT (AEIM 2021)

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