مقاله : Triangular functions method for numerical solution of fractional Mathieu equation

عنوان رویداد : اولین کنفرانس بین المللی ریاضیات و کاربردها
تاریخ برگزاری : 20 مرداد ماه 1400

Triangular functions method for numerical solution of fractional Mathieu equation

نویسندگان :

Leila Mansouri ( Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran ) , Esmail Babolian ( Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, 1561836314, Iran ) , Zahrs Azimzadeh ( Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran )

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چکیده

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

کليدواژه ها

Fractional Mathieu equation Caputo derivative triangular functions

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Leila Mansouri , 1400 , Triangular functions method for numerical solution of fractional Mathieu equation , اولین کنفرانس بین المللی ریاضیات و کاربردها