Ansari, Ali, Jafari, Hossein, Farahmand Rad, Shahriar. (1400). A numerical method for solving variable order fractional optimal control problems. هنرهای کاربردی, 12(Special Issue), 755-765. doi: 10.22075/ijnaa.2021.5429
Ali Ansari; Hossein Jafari; Shahriar Farahmand Rad. "A numerical method for solving variable order fractional optimal control problems". هنرهای کاربردی, 12, Special Issue, 1400, 755-765. doi: 10.22075/ijnaa.2021.5429
Ansari, Ali, Jafari, Hossein, Farahmand Rad, Shahriar. (1400). 'A numerical method for solving variable order fractional optimal control problems', هنرهای کاربردی, 12(Special Issue), pp. 755-765. doi: 10.22075/ijnaa.2021.5429
Ansari, Ali, Jafari, Hossein, Farahmand Rad, Shahriar. A numerical method for solving variable order fractional optimal control problems. هنرهای کاربردی, 1400; 12(Special Issue): 755-765. doi: 10.22075/ijnaa.2021.5429

A numerical method for solving variable order fractional optimal control problems

International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 755-765    اصل مقاله (511.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5429
نویسندگان
Ali Ansari1؛ Hossein Jafari* 2، 3؛ Shahriar Farahmand Rad1
1Department of Mathematics , Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
2Department of Mathematics, University of Mazandaran, Babolsar, Iran
3Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa
چکیده
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.
کلیدواژه‌ها
Fractional optimal control problems؛ Variable order؛ Bernstein polynomials؛ Operational matrix
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