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.
THE LAMB-BATEMAN INTEGRAL EQUATION AND THE FRACTIONAL DERIVATIVES / Danilo, Babusci; Giuseppe, Dattoli; Sacchetti, Dario. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1311-0454. - 14:2(2011), pp. 317-320. [10.2478/s13540-011-0019-3]
THE LAMB-BATEMAN INTEGRAL EQUATION AND THE FRACTIONAL DERIVATIVES
SACCHETTI, Dario
2011
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.File allegati a questo prodotto
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