Results on Katugampola Fractional Derivatives and Integrals

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DOI: https://doi.org/10.28924/2291-8639-21-2023-113
Published: Oct 12, 2023
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Iqbal H. Jebril, Mohammed S. El-Khatib, Ahmad A. Abubaker, Suha B. Al-Shaikh, Iqbal M. Batiha, Results on Katugampola Fractional Derivatives and Integrals, Int. J. Anal. Appl., 21 (2023), 113.

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

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.

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