A numerical method for solving variable order fractional optimal control problems

سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 88

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شناسه ملی سند علمی:

JR_IJNAA-12-0_056

تاریخ نمایه سازی: 11 آذر 1401

چکیده مقاله:

This study is devoted to introducing a computational technique based on Bernstein polynomials to solve variable order fractional optimal control problems (VO-FOCPs). This class of problems generated by dynamical systems describe with variable order fractional derivatives in the Caputo sense. In the proposed method, the Bernstein operational matrix of the fractional variable-order derivatives will be derived. Then, this matrix is used to obtain an approximate solution to mentioned problems. With the use of Gauss-Legendre quadrature rule and the mentioned operational matrix, the considered VO-FOCPs are reduced to a system of equations that are solved to get approximate solutions. The obtained results show the accuracy of the numerical technique.

کلیدواژه ها:

Fractional Optimal Control Problems ، Variable order ، Bernstein polynomials ، Operational matrix

نویسندگان

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Department of Mathematics , Payame Noor University (PNU), P.O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran

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Department of Mathematics, University of Mazandaran, Babolsar, Iran

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Department of Mathematics , Payame Noor University (PNU), P.O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, Iran