Fractional Bessel derivative within the Mellin transform framework

DOI10.1007/s44198-024-00170-8OpenAlexW4391390138WikidataQ128998328 ScholiaQ128998328MaRDI QIDQ6152177

Fethi Bouzeffour

Publication date: 12 February 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-024-00170-8

zbMATH Keywords

Mellin transformfractional calculusBessel function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Ten equivalent definitions of the fractional Laplace operator
• The foundations of fractional calculus in the Mellin transform setting with applications
• A theorem on Fourier transforms of radial functions
• Why fractional derivatives with nonsingular kernels should not be used
• On Riesz derivative
• The Mellin integral transform in fractional calculus
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Definition of the Riesz derivative and its application to space fractional quantum mechanics
• The fundamental solution of the space-time fractional diffusion equation
• Multidimensional solutions of space–fractional diffusion equations
• Two‐sided and regularised Riesz‐Feller derivatives
• On the fractional Bessel operator
• Fourier Transforms. (AM-19)
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