Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
We offer a method for solving the fractional optimal control problems of multi-dimensional. We obtain a fractional derivative and multiplication operational matrix for Mott polynomials (M-polynomials). In the proposed method, the Caputo sense of the fractional derivative is applied on dynamical system. The main feature of this method is to reduce the problem into a system of algebraic equations in order to simplify it. We also show that by increasing the approximation points, the responses converge to the real answer. When the degree of fractional derivative approaches to 1, then the obtained solution approaches to the classical solution as well.
Keywords:
Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:12 Issue: 1, Winter and Spring 2022
Pages:
201 to 227
https://www.magiran.com/p2416374
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اطلاعات نویسنده(گان) توسط ایشان ثبت و تکمیل شدهاست. برای مشاهده مشخصات و فهرست همه مطالب، صفحه رزومه را ببینید.
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