Analyticity and uniqueness of the fractional electromagnetic boundary value problem

This paper introduces a new study that examines the unique and analytical nature of the fractional solution to a fractional electromagnetic boundary value problem (BVP). This specific BVP is characterized by defining the tangential electromagnetic components. It has been proven that the analytical expressions for the fractional electromagnetic fields E alpha, E*alpha, H alpha, and H*alpha do not vanish in any subregions ohm alpha o or ohm alpha - ohm alpha o. Furthermore, the unique solution makes E alpha = E*alpha and H alpha = H*alpha without singular fields at same region of the space. Analyticity of the fractional time-harmonic electromagnetic field within lossy or lossless dielectric regions is proven.