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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| author | Ali A.R. Jan R. Alotaibi H. Yaseen N.A. |
| author2 | 57193111417 |
| author_facet | 57193111417 Ali A.R. Jan R. Alotaibi H. Yaseen N.A. |
| author_sort | Ali A.R. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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. |
| format | Article |
| id | my.uniten.dspace-37138 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | American Institute of Mathematical Sciences |
| record_format | dspace |
| spelling | my.uniten.dspace-371382025-03-03T15:47:53Z Analyticity and uniqueness of the fractional electromagnetic boundary value problem Ali A.R. Jan R. Alotaibi H. Yaseen N.A. 57193111417 57205596279 57191518181 59053808600 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. Final 2025-03-03T07:47:53Z 2025-03-03T07:47:53Z 2024 Article 10.3934/mmc.2024009 2-s2.0-85190434445 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190434445&doi=10.3934%2fmmc.2024009&partnerID=40&md5=d0716e87102dadc452fb85d4a71bd2b4 https://irepository.uniten.edu.my/handle/123456789/37138 4 1 101 109 All Open Access; Gold Open Access American Institute of Mathematical Sciences Scopus |
| spellingShingle | Ali A.R. Jan R. Alotaibi H. Yaseen N.A. Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title | Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title_full | Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title_fullStr | Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title_full_unstemmed | Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title_short | Analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| title_sort | analyticity and uniqueness of the fractional electromagnetic boundary value problem |
| url_provider | http://dspace.uniten.edu.my/ |