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Ramezanpour, A., Reihani, P., Vahidi, J., Soltanian, F.. (1398). A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation. نشریه هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 67-73. doi: 10.22075/ijnaa.2019.4397
A. Ramezanpour; P. Reihani; J. Vahidi; F. Soltanian. "A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation". نشریه هنرهای کاربردی, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 1398, 67-73. doi: 10.22075/ijnaa.2019.4397
Ramezanpour, A., Reihani, P., Vahidi, J., Soltanian, F.. (1398). 'A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation', نشریه هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 67-73. doi: 10.22075/ijnaa.2019.4397
Ramezanpour, A., Reihani, P., Vahidi, J., Soltanian, F.. A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation. نشریه هنرهای کاربردی, 1398; 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)): 67-73. doi: 10.22075/ijnaa.2019.4397

A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation

International Journal of Nonlinear Analysis and Applications
مقاله 6، دوره 10، Special Issue ( Nonlinear Analysis in Engineering and Sciences)، اسفند 2019، صفحه 67-73    اصل مقاله (154.65 K)
نوع مقاله: Special issue editorial
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4397
نویسندگان
A. Ramezanpour1؛ P. Reihani1؛ J. Vahidi* 2؛ F. Soltanian1
1Department of Mathematics, Payame Noor University, Tehran, Iran
2Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences, University of South Africa, UNISA0003,South Africa
تاریخ دریافت: 12 اردیبهشت 1398،  تاریخ بازنگری: 24 مهر 1398،  تاریخ پذیرش: 17 آبان 1398 
چکیده
In this article, Ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the Caputo fractional derivative. Using polynomial basis functions, we obtain a system of nonlinear algebraic equations. This nonlinear system of equation is solved and the coefficients of basis polynomial are derived. The convergence of the numerical solution is investigated. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.
کلیدواژه‌ها
Fractional Optimal Control Problems؛ Caputo fractional derivative؛ Optimal Control Problems؛ Polynomial basis functions
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