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Zbl 1175.26004
Ashyralyev, A.
A note on fractional derivatives and fractional powers of operators. (English)
[J] J. Math. Anal. Appl. 357, No. 1, 232-236 (2009). ISSN 0022-247X

A connection between Riemann-Liouville fractional derivatives and fractional powers of positive operators is established and, a discrete version of such derivatives is introduced.
[Boris Rubin (Baton Rouge)]
MSC 2000:
*26A33 Fractional derivatives and integrals (real functions)
47B65 Positive and order bounded operators

Keywords: fractional derivatives; fractional powers; positive operators

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