Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/4659
Título: Fractional order electromagnetics
Autor: Machado, J. A. Tenreiro
Jesus, Isabel S.
Galhano, Alexandra
Cunha, J. Boaventura
Palavras-chave: Fractional calculus
Electric potential
Data: 2006
Editora: Elsevier
Relatório da Série N.º: Signal Processing; Vol. 86, Issue 10
Resumo: The Maxwell equations constitute a formalism for the development of models describing electromagnetic phenomena. The four Maxwell laws have been adopted successfully in many applications and involve only the integer order differential calculus. Recently, a closer look for the cases of transmission lines, electrical motors and transformers, that reveal the so-called skin effect, motivated a new perspective towards the replacement of classical models by fractional-order mathematical descriptions. Bearing these facts in mind this paper addresses the concept of static fractional electric potential. The fractional potential was suggested some years ago. However, the idea was not fully explored and practical methods of implementation were not proposed. In this line of thought, this paper develops a new approximation algorithm for establishing the fractional order electrical potential and analyzes its characteristics.
Peer review: yes
URI: http://hdl.handle.net/10400.22/4659
ISSN: 0165-1684
Versão do Editor: http://www.sciencedirect.com/science/article/pii/S016516840600051X
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