On fractional powers of the Bessel operator on semiaxis

DOI10.17377/semi.2018.15.001zbMath1390.26012arXiv1706.01928OpenAlexW2624211086MaRDI QIDQ1707562

Sergeĭ Mikhaĭlovich Sitnik, Elina Leonidovna Shishkina

Publication date: 3 April 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01928

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33)

Related Items (8)

On the fractional Bessel operator ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ On spectral polar fractional Laplacian ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications ⋮ Fractional Bessel Integrals and Derivatives on Semi-axes ⋮ Fractional powersof Bessel operator and its numerical calculation ⋮ Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations

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