On the invalidity of Fourier series expansions of fractional order

DOI10.1515/fca-2015-0087zbMath1341.42013arXiv1507.07798OpenAlexW2962910174MaRDI QIDQ898909

Ahmed I. Zayed, Peter R. Massopust

Publication date: 21 December 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07798

zbMATH Keywords

Mittag-Leffler functionsfractional derivativeFourier series of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Harmonic analysis in one variable (42A99) Functional-differential equations with fractional derivatives (34K37)

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