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 e...
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American Institute of Mathematical Sciences
2025
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| Summary: | 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�, E?�, H�, and H?� do not vanish in any subregions ��o or �� ? ��o. Furthermore, the unique solution makes E� = E?� and H� = H?� 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. Keyword. ? 2024 the Author(s), licensee AIMS Press. |
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