A novel approach for solving partial integro-differential equations using optimal perturbation iteration method

We present a novel and effective algorithm to solve non-linear fractional order partial integro-differential equations which is based on the optimal perturbation iteration transform method. The fractional order derivative will be in the Caputo-Atangana-Baleanu sense. The optimal perturbation iteration transform method is a combination between the Laplace transform and the perturbation iteration algorithm. The solution is described by the suggested method as a quickly convergent series. To demonstrates the applicability of the proposed technique, two model examples are solved. The present paper also unveils that optimal perturbation iteration transform method quickly converges to the precise answers of the provided equations at a reduced iteration value.