Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications

DOI10.1016/j.cam.2009.05.029zbMath1182.26019OpenAlexW2079026301MaRDI QIDQ843122

Vladimir V. Varlamov, Nico M. Temme

Publication date: 29 September 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.05.029

zbMATH Keywords

asymptotic expansionsOstrovsky equationAiry functionsRiesz fractional derivativesscorer functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

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Airy functions and Riesz fractional trigonometric operators ⋮ Wavelets generated by Riesz potentials of KdV solitons ⋮ Properties of Riesz fractional derivatives for Korteweg--de Vries solitons ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Integral representations of products of airy functions related to fractional calculus ⋮ Riesz potentials for Korteweg-de Vries solitons

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