A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms

Abstract

In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev, Fourier sine, and Fourier cosine integral transforms.