Homotopy perturbation method for fractional-order Burgers-Poisson equation

TL;DR

This paper applies the homotopy perturbation method to solve the fractional-order Burgers-Poisson equation, providing both exact and approximate solutions, demonstrating the method's effectiveness for fractional differential equations.

Contribution

It introduces a novel application of the homotopy perturbation method to fractional-order Burgers-Poisson equations, offering a simple and effective solution approach.

Findings

The method yields accurate explicit solutions.

Numerical results confirm the method's effectiveness.

The approach simplifies solving fractional differential equations.

Abstract

In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit solutions are obtained by employing homotopy perturbation method. The numerical results reveal that the proposed method is very effective and simple for handling fractional-order differential equations.