The lamb-bateman integral equation and the fractional derivatives

Fractional Calculus and Applied Analysis

Volumn 14, Issue 2, 2011, Pages 317-320

  Babusci, Danilo ^a   Dattoli, Giuseppe ^b   Sacchetti, Dario ^c  

^a INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^b ENEA   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Abel integral equation; Diffraction of a solitary wave; Fractional calculus; Lamb Bateman integral equation

Indexed keywords

EID: 80051627624     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-011-0019-3     Document Type: Article

References (4)

1. P.A. Martin, Harry Bateman: from Manchester to Manuscript Project. Mathematics Today 46 (2010), 82-85; http://inside.mines.edu/~pamartin/ref-paps/ R104 MT.pdf.
2. H. Lamb, On the diffraction of a solitary wave. Proc. London Math. Soc. 8 (1910), 422-437; doi:10.1112/plms/s2-8.1.422 .
3. K.B. Oldham and J. Spanier, The Fractional Calculus. Dover Publications (2006).
4. N.H. Abel, Resolution d'un problèm de mecanique. Oeuvres Complètes, Vol. 1, p. 97, Grondhal, Christiana (Norway).