The Lamb-Bateman integral equation and the fractional derivatives
Mathematical Physics
2010-06-09 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1006.0184,
title = {The Lamb-Bateman integral equation and the fractional derivatives},
author = {D. Babusci and G. Dattoli and D. Sacchetti},
journal= {arXiv preprint arXiv:1006.0184},
year = {2010}
}
Comments
3 pages; revised version (misprints corrected, acknowledgements added)