Elementary Fractional Dipoles

In this paper the fractional curl operator curlalpha is applied to obtain fractional sources as a generalization of the electric and magnetic Hertz dipoles. A physical meaning of the fractional curl operator in considered problem is shown: curlalpha results in the coupling of the original electric and magnetic currents. For the values of the fractional order alpha between zero and one, the fractional sources can be treated as intermediate sources between the electric and magnetic sources. Expressions for the fractional fields and fractional sources are presented