Results on Katugampola Fractional Derivatives and Integrals

被引：0

作者：

Jebril, Iqbal H. ^{[1
]}

El-Khatib, Mohammed S. ^{[2
]}

Abubaker, Ahmad A. ^{[3
]}

Al-Shaikh, Suha B. ^{[3
]}

Batiha, Iqbal M. ^{[1
,4
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[2] Al Azhar Univ Gaza, Math Dept, Gaza, Palestine

[3] Arab Open Univ, Fac Comp Studies, Riyadh 11681, Saudi Arabia

[4] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 346, U Arab Emirates

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

left Katugampola fractional derivatives; right Katugampola fractional derivatives; left Katugampola fractional integrals; right Katugampola fractional integrals;

D O I：

10.28924/2291-8639-21-2023-113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 alpha is an element of (m - 1, m] and a (right) fractional derivative terminating at b, where m is an element of 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.

引用

页数：11

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