Geodesic
On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 1-8.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.
Keywords: Hypersingular Integrals, Diffraction, Cracks, Fredholm Integral Equations, Singular Integral Equations 
@article{FCAA_2010_13_1_a0,
     author = {Gil, Alexey and Samko, Stefan},
     title = {On a {Hypersingular} {Equation} of a {Problem,} for a {Crack} in {Elastic} {Media}},
     journal = {Fractional calculus and applied analysis},
     pages = {1--8},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a0/}
}
TY  - JOUR
AU  - Gil, Alexey
AU  - Samko, Stefan
TI  - On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
JO  - Fractional calculus and applied analysis
PY  - 2010
SP  - 1
EP  - 8
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a0/
LA  - en
ID  - FCAA_2010_13_1_a0
ER  - 
%0 Journal Article
%A Gil, Alexey
%A Samko, Stefan
%T On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
%J Fractional calculus and applied analysis
%D 2010
%P 1-8
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a0/
%G en
%F FCAA_2010_13_1_a0
Gil, Alexey; Samko, Stefan. On a Hypersingular Equation of a Problem, for a Crack in Elastic Media. Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a0/