Fractional space solutions of antenna radiation problems: An application to Hertzian dipole

The present study deals with solution of antenna radiation problems in fractional dimensional space. Using the solution of vector potential wave equation in fractional space, we propose a novel generalized procedure for solution of radiation problems in fractional space. As an application we study the fields radiated by Hertzian dipole in α-dimensional fractional space. For all investigated solutions when integer dimension is considered, the classical results are recovered.