A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind

In this paper, a direct analytic method is given for the solution of the linear Fredholm integral and integro-differential equations of the second kind, which is based on the span of the known function, under the action of the operator defined by the kernel. The necessary conditions for using this method are so weak that extends its applicability. The solved examples show the strength of this method.