05 تیر 1403
بهزاد قنبري

بهزاد قنبری

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Planar system; masses in equilateral triangle; springs; Euler-Lagrange equations; fractional derivative
پژوهشگران دومیترو بالینو (نفر اول)، بهزاد قنبری (نفر دوم)، جهاد اسد (نفر سوم)، امین جاجرمی (نفر چهارم)، حسن محمدی پیروز (نفر پنجم)

چکیده

In this work, a system of three masses on the vertices of equilateral triangle is investigated. This system is known in the literature as a planar system. We first give a description to the system by constructing its classical Lagrangian. Secondly, the classical Euler-Lagrange equations (i.e., the classical equations of motion) are derived. Thirdly, we fractionalize the classical Lagrangian of the system, and as a result, we obtain the fractional Euler-Lagrange equations. As the final step, we give the numerical simulations of the fractional model, a new model which is based on Caputo fractional derivative.