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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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Main Authors: Ali A.R., Jan R., Alotaibi H., Yaseen N.A.
Other Authors: 57193111417
Format: Article
Published: American Institute of Mathematical Sciences 2025
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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
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
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.
author2 57193111417
author_facet 57193111417
Ali A.R.
Jan R.
Alotaibi H.
Yaseen N.A.
format Article
author Ali A.R.
Jan R.
Alotaibi H.
Yaseen N.A.
spellingShingle Ali A.R.
Jan R.
Alotaibi H.
Yaseen N.A.
Analyticity and uniqueness of the fractional electromagnetic boundary value problem
author_sort Ali A.R.
title Analyticity and uniqueness of the fractional electromagnetic boundary value problem
title_short 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_sort analyticity and uniqueness of the fractional electromagnetic boundary value problem
publisher American Institute of Mathematical Sciences
publishDate 2025
_version_ 1826077601202962432
score 13.244413

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