Yousef Edrisi-Tabriz
Abstract
In this paper, we present a numerical method for solving the fractional optimal control problems in which fractional integral operational matrices of basic B-spline functions are used. In the proposed method, we use the Riemann-Liouville fractional integral. With ...
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In this paper, we present a numerical method for solving the fractional optimal control problems in which fractional integral operational matrices of basic B-spline functions are used. In the proposed method, we use the Riemann-Liouville fractional integral. With the help of the operational matrix of the fractional integral and the collocation method, we transform the fractional optimal control problem into a nonlinear programming problem and then solve it with an appropriate optimization algorithm. Compared to similar numerical techniques, our method has better accuracy and efficiency, and also it is easy to use. To provide a clear view of the applicability and efficiency of our numerical method, several illustrative examples are presented.
