The Laplace-collocation method for solving fractional differential equations and a class of fractional optimal control problems

In this paper, a new numerical technique is proposed for solving fractional differential equations where its derivative is considered in the Caputo sense. This approach is based on a combination of the Laplace transform and shifted Chebyshev-Gauss collocation method. In addition, we used the proposed technique for solving a class of fractional optimal control problems. For confirming the efficiency and accuracy of the proposed approach, illustrative numerical examples are introduced with its approximate solution.