Results on Katugampola Fractional Derivatives and Integrals
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Published:2023-10-12
Issue:
Volume:21
Page:113
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Jebril Iqbal H.,El-Khatib Mohammed S.,Abubaker Ahmad A.,Al-Shaikh Suha B.,Batiha Iqbal M.
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.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis