01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
A numerical approach for solving fractional optimal control problems with mittag-lef fl er kernel
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Fractional optimal control problems, atangana – baleanu derivative, shifted legendre polynomials, operational matrix, lagrange multiplier method
سال
2021
مجله JOURNAL OF VIBRATION AND CONTROL
پژوهشگران خسرو سایوند

چکیده

n this work, we present a numerical approach based on the shifted Legendre polynomials for solving a class of fractional optimal control problems. The derivative is described in the Atangana – Baleanu derivative sense. To solve the problem, operational matrices of AB-fractional integration and multiplication, together with the Lagrange multiplier method for the constrained extremum, are considered. The method reduces the main problem to a system of nonlinear algebraic equations. In this framework by solving the obtained system, the approximate solution is calculated. An error estimate of the numerical solution is also proved for the approximate solution obtained by the proposed method. Finally, some illustrative examples are presented to demonstrate the accuracy and validity of the proposed scheme