HOMOTOPY PERTURBATION METHOD FOR SOLVING SPECIAL TYPES OF NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Nonlinear phenomena play crucial rule in applied mathematics. Explicit solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining explicit solutions to nonlinear equations have been proposed. In this work, the homotopy perturbation method is employed for solving the initial value problems of special types of nonlinear first order Fredholm integro-differential equations with some illustrative examples. The final results of these examples obtained by means of the homotopy perturbation method where compared with the results obtained from the exact solutions show that this method gave effective results.