Investigation of the Solution of a Fredholm Integral Equation of First Kind With Respect to the Fourier Series

Abstract

When an integral equation is solved by using the Fourier series then the solution represents a stationary signal. Usually, integral equation is solved by the successive approximation method and the resolvent kernel method in which the solution is not of Fourier series type and this solution does not represent a stationary signal. In this paper, our main goal is to determine the solution of a Fredholm integral equation of first kind by using the Fourier series.