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Properties of the Katugampola fractional operators

In: Tatra Mountains Mathematical Publications, vol. 79, no. 2
Barbara Łupińska
Detaily:
Rok, strany: 2021, 135 - 148
Jazyk: eng
Kľúčové slová:
fractional calculus, Katugampola fractional operators, higher order, existence
Typ článku: Mathematics
Typ dokumentu: scientific paper
O článku:
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.
Ako citovať:
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
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 20. 12. 2021
Verejná licencia:
https://creativecommons.org/licenses/by-nc-nd/4.0/