Application of fractional order concepts in the study of electrical potential

Jesus, Isabel S.; Machado, J. A. Tenreiro

http://hdl.handle.net/10400.22/4198

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Autores

Jesus, Isabel S.

Machado, J. A. Tenreiro

Resumo(s)

The Maxwell equations, expressing the fundamental laws of electricity and magnetism, only involve the integer-order calculus. However, several effects present in electromagnetism, motivated recently an analysis under the fractional calculus (FC) perspective. In fact, this mathematical concept allows a deeper insight into many phenomena that classical models overlook. On the other hand, genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. In this work we use FC and GA to implement the electrical potential of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed.

URI

http://hdl.handle.net/10400.22/4198

Editora

Springer

DOI

10.1007/978-3-642-14788-3_34

Coleções

ISEP – DEE – Livro, parte de livro, ou capítulo de livro

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