A Numerical Method for Solving Fractional Optimal Control Problms

Document Type : Regular Paper

Authors

1 Department of Mathematics, Shiraz University of Technology, P.O.Box:7155-313, Shiraz

2 author

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 in to a linear system of algebratic equations. Analyzing
the solution of this system, gives us the solution of original
problem. A numerical example is also given.

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Main Subjects