Properties of the Katugampola Fractional Operators

Łupińska, Barbara

doi:10.2478/tmmp-2021-0024

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.

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Properties of the Katugampola Fractional Operators

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