Fractional electromagnetic waves in plasma and dielectric media with Caputo generalized fractional derivative

Abstract

The wave equation has very significance role in many area of physics. The paper addresses thesolution of fractional differential equations of electromagnetic wave in plasma and dielectric media with Caputo generalized fractional derivative. The ρ−Laplace transform introduced by Fahd and Thabet was used to obtain the analytic solution of fractional differential equation which arising in electromagnetic fields. We investigate that the wave equation in fractional space can effectively describe the behaviour of space wave and time wave. The results show that the electromagnetic fields change with different fractional orders.