Katugampola分式算子的性质

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-12-01 DOI:10.2478/tmmp-2021-0024

Barbara Łupińska

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引用次数: 4

摘要

摘要在这项工作中，考虑了在Katugampola意义上定义的高阶分式算子。证明了任意实阶的Katugampola分式算子的一些基本性质。此外，给出了在绝对连续函数空间中高阶Katugampola分数导数存在的条件。

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Properties of the Katugampola Fractional Operators

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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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量