Abstract
In this article, we introduce a numerical scheme for solving a class of fractional optimal control problems (FOCPs) where the fractional derivative is in Caputo sense. First we approximate the involved functions which are in problem by shifted Chebyshev basis; then, an operational matrix is used to transfer the given optimal control problem into a linear system of algebraic equations. Analyzing the solution of this system, gives us the solution of original problem. A numerical example is also given.
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