On fractional derivatives and primitives of periodic functions
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🧮 math.CA
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fractionalfunctionperiodictildecannotderivativederivativesexception
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In this paper we prove that the fractional derivative or the fractional primitive of a $T$-periodic function cannot be a $\tilde{T}$-periodic function, for any period $\tilde{T}$, with the exception of the zero function.
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