International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 2, Pages 123-128
doi:10.1155/S0161171201010286
A regularization of Fredholm type singular integral equations
N. Aliev
and S.Mohammad Hosseini
Department of Mathematics, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran
Abstract
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral equation with at most weakly singular kernel.