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.
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页数：11
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