Analyticity and uniqueness of the fractional electromagnetic BVP

doi:10.21203/rs.3.rs-3093900/v1

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Analyticity and uniqueness of the fractional electromagnetic BVP

https://doi.org/10.21203/rs.3.rs-3093900/v1

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This paper presents a novel investigation that establishes the uniqueness and analyticity of the fractional solution to a fractional electromagnetic boundary value problem (BVP). The BVP is defined by specifying the tangential electromagnetic components. It has been proven that the analytical expressions for the fractional electromagnetic fields E^α, E^*α, H^α, and H^*α do not vanish in any subregions Ω^α_o or Ω^α - Ω^α_o. Furthermore, the unique solution makes E^α= E^*α and H^α= and H^*α 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. This paper is generalization of works [2,4] and [24,25].