A note on fractional powers of first-order differential and difference operators in relation to fractional derivatives

A note on fractional powers of first-order differential and difference operators in relation to fractional derivatives

This paper concentrates on fractional derivatives and fractional powers of first-order differential and difference operators. It is illustrated how fractional derivatives are related to fractional powers of a first-order positive operator with boundary condition. Moreover, difference formulas for fr...

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Bibliographic Details
Main Author: Ramil Salimov
Format: Article
Language:English
Published: EJAAM 2025-02-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
fractional derivatives
positive operators
first-order differential operators
difference formulas
fractional powers
Online Access:https://ejaam.org/volumes/2025/article/10.62780-ejaam-2025-001.pdf
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Summary:This paper concentrates on fractional derivatives and fractional powers of first-order differential and difference operators. It is illustrated how fractional derivatives are related to fractional powers of a first-order positive operator with boundary condition. Moreover, difference formulas for fractional derivatives are derived.
ISSN:2544-9990

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