The college of Science - Mathematics Dept. discussed a master's thesis entitled (A Numerical Study for Solving Common and Fractional Optimal Control Problems) by graduate student Kholoud Girkan on the Zoom platform. The aim of the thesis is to provide algorithms for solving quadratic optimum control problems varying over time when dynamic equations are differential equations or fractional differential equations.It is based on the Vandermond Matrix and applying the generalized differential transformation method.