The Lamb-Bateman integral equation and the fractional derivatives

Autor:	Babusci, D., Dattoli, G., Sacchetti, D.
Rok vydání:	2010
Předmět:	Mathematical Physics 26A33
Druh dokumentu:	Working Paper
Popis:	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. Comment: 3 pages; revised version (misprints corrected, acknowledgements added)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.0184 Zobrazit plný text záznamu View this record from Arxiv