Solving a class of fractional optimal control problems via a new efficient and accurate method

	Solving a class of fractional optimal control problems via a new efficient and accurate method
Computational Methods for Differential Equations
مقاله 11، دوره 9، شماره 2، تیر 2021، صفحه 480-492 اصل مقاله (334.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.35875.1620
نویسنده
Samaneh Soradi-Zeid^*
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
چکیده
The present paper aims to get through a class of fractional optimal control problems (FOCPs). Furthermore, the fractional derivative portrayed in the Caputo sense through the dynamics of the system as fractional differential equation (FDE). Getting through the solution, firstly the FOCP is transformed into a functional optimization problem. Then, by using known formulas for computing fractional derivatives of Legendre wavelets (LWs), this problem has been reduce to an equivalent system of algebraic equations. In the next step, we can simply solved this algebraic system. In the end, some examples are given to bring about the validity and applicability of this technique and the convergence accuracy.
کلیدواژه‌ها
Fractional optimal control problem؛ Fractional integrals؛ Fractional derivatives؛ Legendre wavelets؛ Lagrange multipliers method

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