Accurate and simple magnetic material law is necessary to correctly model the complete electromagnetic systems. In this article, a new formulation based on the scalar quasi-static hysteresis Jiles-Atherton model extended to dynamic behavior using fractional derivative dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provides a new degree of freedom and allows to obtain correct simulation results on a very large frequency bandwidth. By using such a formulation, highly space and time consuming space discretization techniques (finite differences, finite elements) are avoided while keeping the global accurate simulation results.