Application of genetic algorithms in the design of an electrical potential of fractional order


Autoria(s): Jesus, Isabel S.; Machado, J. A. Tenreiro; Barbosa, Ramiro S.
Data(s)

17/03/2014

17/03/2014

2011

Resumo

Fractional calculus (FC) is currently being applied in many areas of science and technology. In fact, this mathematical concept helps the researches to have a deeper insight about several phenomena that integer order models overlook. Genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. This methodology applies the concepts that describe biological evolution to obtain optimal solution in many different applications. In this line of thought, in this work we use the FC and the GA concepts to implement the electrical fractional order potential. The performance of the GA scheme, and the convergence of the resulting approximation, are analyzed. The results are analyzed for different number of charges and several fractional orders.

Identificador

DOI 10.1007/978-90-481-9884-9_32

978-90-481-9883-2

978-90-481-9884-9

http://hdl.handle.net/10400.22/4202

Idioma(s)

eng

Publicador

Springer

Relação

Nonlinear Science and Complexity;

http://link.springer.com/chapter/10.1007/978-90-481-9884-9_32

Direitos

openAccess

Tipo

bookPart