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- W2243232174 abstract "The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers. In his work the exponential functions $e^{inomega x}$ are replaced by the Mittag-Leffler functions $E_alpha left (i (nomega x)^alpharight) ,$ over the interval $[0, M_alpha/ omega]$ where $0< omega<infty $ and $M_alpha$ is the period of the function $E_alpha left( ix^alpharight),$ i.e., $E_alpha left( ix^alpharight)=E_alpha left( i(x+M_alpha)^alpharight).$" @default.
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- W2243232174 date "2015-07-25" @default.
- W2243232174 modified "2023-09-26" @default.
- W2243232174 title "On the Invalidity of Fourier Series Expansions of Fractional Order" @default.
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