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Analyticity and uniqueness of the fractional electromagnetic BVP

Article scientifique 2023 Anglais

Résumé

Abstract 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 Eα, E*α, Hα, and H*α do not vanish in any subregions Ωαo or Ωα - Ωαo. Furthermore, the unique solution makes Eα= E*α and Hα= 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].

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Ali, A. (2023). Analyticity and uniqueness of the fractional electromagnetic BVP. https://doi.org/10.21203/rs.3.rs-3093900/v1

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Auteur(s)

Ahmed Refaie Ali

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