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Publicado en línea: 01 ene 2022
Páginas: 135 - 148
Recibido: 21 oct 2020
DOI: https://doi.org/10.2478/tmmp-2021-0024
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© 2021 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this work, there are considered higher order fractional operators defined in the sense of Katugampola. There are proved some fundamental properties of the Katugampola fractional operators of any arbitrary real order. Moreover, there are given conditions ensuring existence of the higher order Katugampola fractional derivative in space of the absolutely continuous functions.