Riesz fractional derivatives of solutions of differential equation y(4) + xy = 0

DOI10.1556/012.2017.54.2.1362zbMath1399.33007OpenAlexW2749266367WikidataQ115235340 ScholiaQ115235340MaRDI QIDQ3133251

Alireza Ansari

Publication date: 13 February 2018

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1556/012.2017.54.2.1362

zbMATH Keywords

Fourier transformfractional derivativesHilbert transformquintic Airy function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Airy functions and Riesz fractional trigonometric operators ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\)

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