Analytical Approximate Solution of Fractional Wave Equation by the Optimal Homotopy Analysis Method

Authors

  • Ahmed Elsaid
  • Samir Shamseldeen
  • Seham Madkour

Abstract

We study the fractional wave equation with spatial Riesz fractional derivative. The continuation of the solution of this fractional equation to the solution of the corresponding integer order equation is proved. The series solution is obtained based on properties of Riesz fractional derivative operator and utilizing the optimal homotopy analysis method (OHAM). Numerical simulations are presented to validate the method and to show the effect of changing the fractional derivative parameter on the solution behavior.

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Published

2017-04-20

Issue

Vol. 10 No. 3: (April 2017)

Section

Partial Differential Equations and Dynamical Systems

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How to Cite

Analytical Approximate Solution of Fractional Wave Equation by the Optimal Homotopy Analysis Method. (2017). European Journal of Pure and Applied Mathematics, 10(3), 586-601. https://www.ejpam.com/index.php/ejpam/article/view/2672