Analyticity and uniqueness of the fractional electromagnetic boundary value problem

被引：1

作者：

Ali, A. Refaie ^{[1
]}

Jan, Rashid ^{[2
,3
]}

Alotaibi, H. ^{[4
]}

Yaseen, Nesreen A. ^{[5
]}

机构：

[1] Menoufia Univ, Fac Sci, Math & Comp Sci Dept, Shibin Al Kawm 32511, Menofia, Egypt

[2] Univ Tenaga Nas, Inst Energy Infrastruct, Coll Engn, Dept Civil Engn, Putrajaya Campus,Jalan IKRAM-UNITEN, Kajang 43000, Selangor, Malaysia

[3] Near East Univ, Math Res Ctr, TR-99138 Mersin, Nicosia, Turkiye

[4] Taif Univ, Fac Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

[5] Higher Inst Comp & Informat Technol, Cairo, Egypt

来源：

MATHEMATICAL MODELLING AND CONTROL | 2024年 / 4卷 / 01期

关键词：

electromagnetic; analyticity; uniqueness; fractional; BVP; FIELD; EQUATIONS;

D O I：

10.3934/mmc.2024009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 alpha, E*alpha, H alpha, and H*alpha do not vanish in any subregions ohm alpha o or ohm alpha - ohm alpha o. Furthermore, the unique solution makes E alpha = E*alpha and H alpha = H*alpha 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.

引用

页码：101 / 109

页数：9

共 37 条

[1] Fractional approach of Maxwell equations in the curved spacetime
Abd El-Salam, Fawzy A.
[J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2013, 7 (03): : 173 - 179
[2] Determination of the boundary value problem of the electromagnetic field over a closed regular boundary
Abo-Seida, OM
[J]. CHAOS SOLITONS & FRACTALS, 2003, 17 (05) : 843 - 846
[3] Uniqueness solution for the boundary value problem defined by specifying the components of the electromagnetic field
Abo-Seida, OM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (2-3) : 553 - 558
[4] The analyticity of the electromagnetic field in an isotropic medium
Abo-Seida, OM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 127 (2-3) : 361 - 364
[5] Abo-Seida OM., 2020, J. Adv. Phys, V18, P20, DOI [10.24297/jap.v18i.8803, DOI 10.24297/JAP.V18I.8803]
[6] Abo-Seida OM., 2023, J. Commun. Sci. Inf. Technol, V1, P1, DOI [10.21608/jcsit.2023.306699, DOI 10.21608/JCSIT.2023.306699]
[7] Cherenkov FEL Reaction With Plasma-Filled Cylindrical Waveguide in Fractional D-Dimensional Space
Abo-Seida, Osama M.
El-dabe, Nabil T. M.
Ali, A. Refaie
Shalaby, G. A.
[J]. IEEE TRANSACTIONS ON PLASMA SCIENCE, 2021, 49 (07) : 2070 - 2079
[8] EM wave propagation within plasma-filled rectangular waveguide using fractional space and LFD
Ali, A. Refaie
Eldabe, N. T. M.
Abd El Naby, A. E. H.
Ibrahim, M.
Abo-Seida, O. M.
[J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 232 (14-15) : 2531 - 2537
[9] Ali AR., 2024, Partial Differ. Equ. Appl. Math, V9, DOI [10.1016/j.padiff.2023.100601, DOI 10.1016/J.PADIFF.2023.100601]
[10] On electromagnetic field in fractional space
Baleanu, Dumitru
Golmankhaneh, Alireza K.
Golmankhaneh, Ali K.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 288 - 292

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