The Lamb-Bateman integral equation and the fractional derivatives

2010/06/01 by D. Babusci, Babusci, D., G. Dattoli +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #26A33 #Acoustic Wave Resonator Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Optical and Acousto-Optic Technologies #math-ph #math.MP #msc:26A33

paper · pdf · doi:10.48550/arxiv.1006.0184

3 pages; revised version (misprints corrected, acknowledgements added)

openalex publication_date 2010/06/01 · arxiv created 2010/06/08 · arxiv updated 2010/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the formalism of fractional calculus.

Cited by

• A Generalization of the Lamb-Bateman Integral Equation and Fractional Derivatives : A Comment

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