Abstract
We apply a novel computation approach to determine the numerical solution of variable-order fractional optimal control problems. The dynamic constraint of these problems is considered with variable-order (VO) fractional derivatives. The numerical procedure is based on the Genocchi polynomials. To carry out the suggested technique, the Genocchi operational matrix of the VO fractional integral is calculated. By utilizing the mentioned operational matrix and the Gauss–Legendre quadrature rule, a system of equations is made. Then, the produced system is simply solved. Some numerical examples are given. The obtained results show the applicability and usefulness of the numerical technique.
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