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.
Soradi-Zeid, S. (2021). Solving a class of fractional optimal control problems via a new efficient and accurate method. Computational Methods for Differential Equations, 9(2), 480-492. doi: 10.22034/cmde.2020.35875.1620
MLA
Samaneh Soradi-Zeid. "Solving a class of fractional optimal control problems via a new efficient and accurate method". Computational Methods for Differential Equations, 9, 2, 2021, 480-492. doi: 10.22034/cmde.2020.35875.1620
HARVARD
Soradi-Zeid, S. (2021). 'Solving a class of fractional optimal control problems via a new efficient and accurate method', Computational Methods for Differential Equations, 9(2), pp. 480-492. doi: 10.22034/cmde.2020.35875.1620
VANCOUVER
Soradi-Zeid, S. Solving a class of fractional optimal control problems via a new efficient and accurate method. Computational Methods for Differential Equations, 2021; 9(2): 480-492. doi: 10.22034/cmde.2020.35875.1620
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