Pell-Lucas-Galerkin method for solving two-classes of fractional optimal control problems

The aim of this work is to present a new computational scheme to solve two classes of fractional optimal control problems by using Pell-Lucas polynomials and Galerkin method. Here, we present operational matrices of fractional integration and pantograph for Pell-Lucas polynomials. Then, these matrices and the Galerkin method are used to convert the considered problems to systems of algebraic equations. The applicability of the proposed method is demonstrated by numerical examples.