<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Properties of the Katugampola Fractional Operators

Insitute of Computer Science of University of Białystok

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Properties of the Katugampola Fractional Operators"}

In this work, there are considered higher order fractional operators defined in the sense of Katugampola. There are proved some fundamental properties of the...

Properties of the Katugampola Fractional Operators

Data publikacji: 01 sty 2022

Zakres stron: 135 - 148

Otrzymano: 21 paź 2020

DOI: https://doi.org/10.2478/tmmp-2021-0024

Słowa kluczowe
fractional calculus, Katugampola fractional operators, higher order, existence

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Properties of the Katugampola Fractional Operators

Data publikacji: 01 sty 2022

Zakres stron: 135 - 148

Otrzymano: 21 paź 2020

DOI: https://doi.org/10.2478/tmmp-2021-0024

Słowa kluczowefractional calculus, Katugampola fractional operators, higher order, existence

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Słowa kluczowe
fractional calculus, Katugampola fractional operators, higher order, existence