In: Tatra Mountains Mathematical Publications, vol. 79, no. 2
Barbara Łupińska
Details:
Year, pages: 2021, 135 - 148
Language: eng
Keywords:
fractional calculus, Katugampola fractional operators, higher order, existence
Article type: Mathematics
Document type: scientific paper
About article:
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.
How to cite:
ISO 690:
Łupińska, B. 2021. Properties of the Katugampola fractional operators. In Tatra Mountains Mathematical Publications, vol. 79, no.2, pp. 135-148. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0024
APA:
Łupińska, B. (2021). Properties of the Katugampola fractional operators. Tatra Mountains Mathematical Publications, 79(2), 135-148. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0024
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 12. 2021
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/