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A note on fractional derivatives and fractional powers of operators
Authors:A Ashyralyev
Institution:Department of Mathematics, Fatih University, Istanbul, Turkey
Abstract:Definitions of fractional derivatives and fractional powers of positive operators are considered. The connection of fractional derivatives with fractional powers of positive operators is presented. The formula for fractional difference derivative is obtained.
Keywords:Fractional derivatives  Fractional powers  Positive operators
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