Fractional Calculus Model for Damped Mathieu Equation: Approximate Analytical Solution
Abdelhalim Ebaid; Mohamady, Doaa; Mona D. Aljouf;
Abstract
The classical damped Mathieu differential equation was firstly introduced by Mathieu in 1868 to determine the vibration modes of a
stretched membrane having an elliptical clamp ed boundary. In this
paper, we consider the fractional calculus model of damp ed Mathieu
equation and introduce the approximate analytical solution by using
two different methods, namely, Adomian decomp osition method and a
series method.
stretched membrane having an elliptical clamp ed boundary. In this
paper, we consider the fractional calculus model of damp ed Mathieu
equation and introduce the approximate analytical solution by using
two different methods, namely, Adomian decomp osition method and a
series method.
Other data
| Title | Fractional Calculus Model for Damped Mathieu Equation: Approximate Analytical Solution | Other Titles | Fractional calculus model for damped Mathieu equation | Authors | Abdelhalim Ebaid ; Mohamady, Doaa ; Mona D. Aljouf | Issue Date | 1-Mar-2012 | Journal | Applied Mathematical Sciences |
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