Document Type : Original Article

Authors

• Leila Mansouri ¹
• Esmail Babolian ²
• Zahra Azimzadeh ¹

¹ Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran

² Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, 1561836314, Iran

Abstract

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.

Keywords

• Fractional Mathieu equation
• Caputo derivative
• Triangular functions
• Operational matrix