关于Katugampola分数阶导数和积分的结果

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-10-12 DOI:10.28924/2291-8639-21-2023-113

Iqbal H. Jebril, Mohammed S. El-Khatib, Ahmad A. Abubaker, Suha B. Al-Shaikh, Iqbal M. Batiha

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引用次数: 0

摘要

本文给出了一种新的关于Katugampola导数和Katugampola积分的定义。特别地，我们定义了α∈(m-1, m)阶函数f从a开始的(左)分数阶导数和以b结束的(右)分数阶导数，其中m∈n，然后给出了与这些算子有关的一些性质，如线性、乘积法则、商法则、幂法则、链式法则和常函数的消失导数。

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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Results on Katugampola Fractional Derivatives and Integrals

In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give some proprieties in relation to these operators such as linearity, product rule, quotient rule, power rule, chain rule, and vanishing derivatives for constant functions.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks