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2014 On Fractional Derivatives and Primitives of Periodic Functions
I. Area, J. Losada, J. J. Nieto
Abstr. Appl. Anal. 2014(SI04): 1-8 (2014). DOI: 10.1155/2014/392598


We prove that the fractional derivative or the fractional primitive of a T-periodic function cannot be a T~-periodic function, for any period T~, with the exception of the zero function.


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I. Area. J. Losada. J. J. Nieto. "On Fractional Derivatives and Primitives of Periodic Functions." Abstr. Appl. Anal. 2014 (SI04) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 1337.26008
MathSciNet: MR3251527
Digital Object Identifier: 10.1155/2014/392598

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI04 • 2014
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