एप्लाइड और कम्प्यूटेशनल गणित जर्नल

Laplace Homotopy Perturbation Method (LHAM) to Fractional Oscillation Equations

Abstract

Arafa AAM

In this paper, Laplace Homotopy perturbation method (LHAM) is used to find the approximate solution of the fractional Oscillation equations. The fractional derivatives are described in the Caputo sense. We compare the exact solutions with our results without fractional derivatives. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fractional derivative used. Numerical results are demonstrated the accuracy, efficiency and high rate of convergence of this method.