Work

Results on Katugampola Fractional Derivatives and Integrals

Year: 2023

Type: article

Abstract: 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.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-21-2023-113

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

Institutions: Al-Zaytoonah University of Jordan, Al-Azhar University – Gaza, Arab Open University, Ajman University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

OpenAlex ID: W4387570971

FWCI: 0.537

Cites: 24

Cited by: 3

Related to: 10