Triangular functions method for numerical solution of fractional Mathieu equation

Fractional differential equations (FDEs) have recently attracted much attention. ‎‎‎‎‎‎Fractional Mathieu equation is a well-known FDE.‎ ‎‎‎Here, a method based on operational matrix of triangular functions for fractional order integration is introduced for the numerical solution of fractional Mathieu equation.‎‎‎‎This technique is a successful method because of reducing the problem to a system of linear equations. By solving this system, an approximate solution is obtained. ‎‎‎‎Illustrative examples demonstrate accuracy and efficiency of the method.

کلیدواژه ها:

Fractional Mathieu equation ، Caputo derivative ، triangular functions ، operational matrix