On fractional calculus of \(\mathcal A_{2n+1}(x)\) function

DOI10.1016/J.AMC.2014.01.058zbMath1410.33017OpenAlexW187876207MaRDI QIDQ1646137

Alireza Ansari, Hassan Randjbar Askari

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.058

zbMATH Keywords

Mellin transformAiry function\(\mathcal A_{2n+1}(x)\) functionbi-orthogonal function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (12)

Airy functions and Riesz fractional trigonometric operators ⋮ Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ Pseudoprocesses related to higher-order equations of vibrations of rods ⋮ On M-Wright transforms and time-fractional diffusion equations ⋮ 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 ⋮ On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives ⋮ Asymptotic analysis of the Wright function with a large parameter ⋮ On the generalized mass transfer with a chemical reaction: Fractional derivative model ⋮ Exact solutions to the fractional differential equations with mixed partial derivatives ⋮ Unnamed Item

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