In this paper, an approximate method for solving the Generalized Abel's integral equations
is proposed. The method is based on expanding the unknown function in terms of Bernoulli
polynomials. Then, the collocation method is applied to reduce the solution of the Generalized
Abel's integral equation to the one of solving a system of algebraic equations. Results of
numerical examples are presented, which illustrate that the proposed method achieve good
accuracy even using a small number of Bernoulli polynomials.