Ritz approximation for the fractional optimal control problems

Document Type : Research Articles

Author

Department of Mathematics, University of Science and Technology of Mazandaran

Abstract

The manuscript deals with the fractional optimal control problems (FOCPs) based on the Caputo fractional derivative
by the Ritz method. To use this method, we transform the FOCPs
into an optimization problem and obtain the system of nonlinear algebraic equations. By polynomial basis functions, we approximate
solutions. Then, we have the coefficients of polynomial expansions
by solving the system of nonlinear equations. Numerical examples
are presented which illustrate the performance of the method.

Keywords

Caspian Journal of Mathematical Sciences
Volume 11, Issue 1
2022
Pages 324-333

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