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math.CA2015
A note on the fractional logistic equation
I. Area, J. Losada, J. J. Nieto
In this short note, we show that the real function recently proposed by Bruce J. West [Exact solution to fractional logistic equation, Physica A 429 (2015) 103--108] is not an exac…
math.CA2015
On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions
Iván Area, Jorge Losada, Juan J. Nieto
This paper is devoted to the study of quasi-periodic properties of fractional order integrals and derivatives of periodic functions. Considering Riemann-Liouville and Caputo defini…
math.CA2014
On fractional derivatives and primitives of periodic functions
I. Area, J. Losada, J. J. Nieto
In this paper we prove that the fractional derivative or the fractional primitive of a -periodic function cannot be a -periodic function, for any period ,…