Fractional Electromagnetic Waves
  In the present work we consider the electromagnetic wave equation in terms of the fractional derivative of the Caputo type. The order of the derivative being considered is 0 <\gamma<1. A new parameter \sigma, is introduced which characterizes the existence of the fractional components in the system. We analyze the fractional derivative with respect to time and space, for \gamma = 1 and \gamma = 1/2 cases. 
J.F. G\'omez, J.J. Rosales, J.J. Bernal, V.I. Tkach, M. Gu\'ia
math-ph math.MP