An Approximate Solution of the Mathieu Fractional Equation by Using the Generalized Differential Transform Method (Gdtm)

Authors

H. S. Najafi, University of Guilan
S. R. Mirshafaei, Islamic Azad University Lahijan Branch
E. A. Toroqi, Islamic Azad University Lahijan Branch

Abstract

The generalized differential transform method (GDTM) is a powerful tool for solving fractional equations. In this paper we solve the Mathieu fractional equation by this method. The approximate solutions obtained are compared with the exact solution. We also show that if both differential orders decrease, we can still have an approximate solution in the different interval of p.

Recommended Citation

Najafi, H. S.; Mirshafaei, S. R.; and Toroqi, E. A. (2012). An Approximate Solution of the Mathieu Fractional Equation by Using the Generalized Differential Transform Method (Gdtm), Applications and Applied Mathematics: An International Journal (AAM), Vol. 7, Iss. 1, Article 24.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/24