The Regularization-Homotopy Method for the Linear and Non-linear Fredholm Integral Equations of the First Kind

In this work, a reliable treatment for the linear and nonlinear Fredholm integral equations of the first kind is presented. The regularization method combined with the homotopy perturbation method is employed to handle the ill-posed Fredholm problems. Also, the reliability of the regularization-homotopy method is justified using illustrative examples.